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Finding the Third Proportional to 29,202 and 62,988

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Solution

The third proportional to 29,202 and 62,988 is: 135,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,202 : 62,988 = 62,988 : x
  2. Step 2: Convert to fraction form
    29,202/62,988 = 62,988/x
  3. Step 3: Cross multiply
    29,202x = 62,988 × 62,988
  4. Step 4: Simplify right side
    29,202x = 3,967,488,144
  5. Step 5: Solve for x
    x = 3,967,488,144/29,202
  6. Step 6: Final answer
    x = 135,863.58

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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.