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Finding the Third Proportional to 47,342 and 102,065

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Solution

The third proportional to 47,342 and 102,065 is: 220,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342 : 102,065 = 102,065 : x
  2. Step 2: Convert to fraction form
    47,342/102,065 = 102,065/x
  3. Step 3: Cross multiply
    47,342x = 102,065 × 102,065
  4. Step 4: Simplify right side
    47,342x = 10,417,264,225
  5. Step 5: Solve for x
    x = 10,417,264,225/47,342
  6. Step 6: Final answer
    x = 220,042.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.