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Finding the Third Proportional to 121,522 and 162,592

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Solution

The third proportional to 121,522 and 162,592 is: 217,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,522 : 162,592 = 162,592 : x
  2. Step 2: Convert to fraction form
    121,522/162,592 = 162,592/x
  3. Step 3: Cross multiply
    121,522x = 162,592 × 162,592
  4. Step 4: Simplify right side
    121,522x = 26,436,158,464
  5. Step 5: Solve for x
    x = 26,436,158,464/121,522
  6. Step 6: Final answer
    x = 217,542.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.