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Finding the Third Proportional to 29,139 and 60,352

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Solution

The third proportional to 29,139 and 60,352 is: 124,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,139 : 60,352 = 60,352 : x
  2. Step 2: Convert to fraction form
    29,139/60,352 = 60,352/x
  3. Step 3: Cross multiply
    29,139x = 60,352 × 60,352
  4. Step 4: Simplify right side
    29,139x = 3,642,363,904
  5. Step 5: Solve for x
    x = 3,642,363,904/29,139
  6. Step 6: Final answer
    x = 124,999.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.