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Finding the Third Proportional to 92,522.25 and 138,411.75

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Solution

The third proportional to 92,522.25 and 138,411.75 is: 207,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,522.25 : 138,411.75 = 138,411.75 : x
  2. Step 2: Convert to fraction form
    92,522.25/138,411.75 = 138,411.75/x
  3. Step 3: Cross multiply
    92,522.25x = 138,411.75 × 138,411.75
  4. Step 4: Simplify right side
    92,522.25x = 19,157,812,538.06
  5. Step 5: Solve for x
    x = 19,157,812,538.06/92,522.25
  6. Step 6: Final answer
    x = 207,061.68

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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.