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Finding the Third Proportional to 92,657 and 138,567

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Solution

The third proportional to 92,657 and 138,567 is: 207,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,657 : 138,567 = 138,567 : x
  2. Step 2: Convert to fraction form
    92,657/138,567 = 138,567/x
  3. Step 3: Cross multiply
    92,657x = 138,567 × 138,567
  4. Step 4: Simplify right side
    92,657x = 19,200,813,489
  5. Step 5: Solve for x
    x = 19,200,813,489/92,657
  6. Step 6: Final answer
    x = 207,224.64

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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.