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Finding the Third Proportional to 125,106 and 184,351.50

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Solution

The third proportional to 125,106 and 184,351.50 is: 271,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,106 : 184,351.50 = 184,351.50 : x
  2. Step 2: Convert to fraction form
    125,106/184,351.50 = 184,351.50/x
  3. Step 3: Cross multiply
    125,106x = 184,351.50 × 184,351.50
  4. Step 4: Simplify right side
    125,106x = 33,985,475,552.25
  5. Step 5: Solve for x
    x = 33,985,475,552.25/125,106
  6. Step 6: Final answer
    x = 271,653.44

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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.