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Finding the Third Proportional to 32,292 and 69,532

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Solution

The third proportional to 32,292 and 69,532 is: 149,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,292 : 69,532 = 69,532 : x
  2. Step 2: Convert to fraction form
    32,292/69,532 = 69,532/x
  3. Step 3: Cross multiply
    32,292x = 69,532 × 69,532
  4. Step 4: Simplify right side
    32,292x = 4,834,699,024
  5. Step 5: Solve for x
    x = 4,834,699,024/32,292
  6. Step 6: Final answer
    x = 149,718.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.