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Finding the Third Proportional to 125,152.50 and 266,917.50

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Solution

The third proportional to 125,152.50 and 266,917.50 is: 569,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,152.50 : 266,917.50 = 266,917.50 : x
  2. Step 2: Convert to fraction form
    125,152.50/266,917.50 = 266,917.50/x
  3. Step 3: Cross multiply
    125,152.50x = 266,917.50 × 266,917.50
  4. Step 4: Simplify right side
    125,152.50x = 71,244,951,806.25
  5. Step 5: Solve for x
    x = 71,244,951,806.25/125,152.50
  6. Step 6: Final answer
    x = 569,265.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.