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Finding the Third Proportional to 57,851 and 86,541

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Solution

The third proportional to 57,851 and 86,541 is: 129,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,851 : 86,541 = 86,541 : x
  2. Step 2: Convert to fraction form
    57,851/86,541 = 86,541/x
  3. Step 3: Cross multiply
    57,851x = 86,541 × 86,541
  4. Step 4: Simplify right side
    57,851x = 7,489,344,681
  5. Step 5: Solve for x
    x = 7,489,344,681/57,851
  6. Step 6: Final answer
    x = 129,459.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.