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Finding the Third Proportional to 29,862 and 62,154

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Solution

The third proportional to 29,862 and 62,154 is: 129,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,862 : 62,154 = 62,154 : x
  2. Step 2: Convert to fraction form
    29,862/62,154 = 62,154/x
  3. Step 3: Cross multiply
    29,862x = 62,154 × 62,154
  4. Step 4: Simplify right side
    29,862x = 3,863,119,716
  5. Step 5: Solve for x
    x = 3,863,119,716/29,862
  6. Step 6: Final answer
    x = 129,365.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.