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Finding the Third Proportional to 125,425 and 267,859.50

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Solution

The third proportional to 125,425 and 267,859.50 is: 572,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,425 : 267,859.50 = 267,859.50 : x
  2. Step 2: Convert to fraction form
    125,425/267,859.50 = 267,859.50/x
  3. Step 3: Cross multiply
    125,425x = 267,859.50 × 267,859.50
  4. Step 4: Simplify right side
    125,425x = 71,748,711,740.25
  5. Step 5: Solve for x
    x = 71,748,711,740.25/125,425
  6. Step 6: Final answer
    x = 572,044.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.