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Finding the Third Proportional to 125,097.75 and 184,338

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Solution

The third proportional to 125,097.75 and 184,338 is: 271,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,097.75 : 184,338 = 184,338 : x
  2. Step 2: Convert to fraction form
    125,097.75/184,338 = 184,338/x
  3. Step 3: Cross multiply
    125,097.75x = 184,338 × 184,338
  4. Step 4: Simplify right side
    125,097.75x = 33,980,498,244
  5. Step 5: Solve for x
    x = 33,980,498,244/125,097.75
  6. Step 6: Final answer
    x = 271,631.57

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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.