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Finding the Third Proportional to 125,124.75 and 266,859.56

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Solution

The third proportional to 125,124.75 and 266,859.56 is: 569,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,124.75 : 266,859.56 = 266,859.56 : x
  2. Step 2: Convert to fraction form
    125,124.75/266,859.56 = 266,859.56/x
  3. Step 3: Cross multiply
    125,124.75x = 266,859.56 × 266,859.56
  4. Step 4: Simplify right side
    125,124.75x = 71,214,026,097.69
  5. Step 5: Solve for x
    x = 71,214,026,097.69/125,124.75
  6. Step 6: Final answer
    x = 569,144.20

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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.