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Finding the Third Proportional to 29,101 and 63,534

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Solution

The third proportional to 29,101 and 63,534 is: 138,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,101 : 63,534 = 63,534 : x
  2. Step 2: Convert to fraction form
    29,101/63,534 = 63,534/x
  3. Step 3: Cross multiply
    29,101x = 63,534 × 63,534
  4. Step 4: Simplify right side
    29,101x = 4,036,569,156
  5. Step 5: Solve for x
    x = 4,036,569,156/29,101
  6. Step 6: Final answer
    x = 138,708.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.