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Finding the Third Proportional to 125,101.50 and 184,342.50

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Solution

The third proportional to 125,101.50 and 184,342.50 is: 271,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,101.50 : 184,342.50 = 184,342.50 : x
  2. Step 2: Convert to fraction form
    125,101.50/184,342.50 = 184,342.50/x
  3. Step 3: Cross multiply
    125,101.50x = 184,342.50 × 184,342.50
  4. Step 4: Simplify right side
    125,101.50x = 33,982,157,306.25
  5. Step 5: Solve for x
    x = 33,982,157,306.25/125,101.50
  6. Step 6: Final answer
    x = 271,636.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.