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Finding the Third Proportional to 62,654 and 135,159

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Solution

The third proportional to 62,654 and 135,159 is: 291,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,654 : 135,159 = 135,159 : x
  2. Step 2: Convert to fraction form
    62,654/135,159 = 135,159/x
  3. Step 3: Cross multiply
    62,654x = 135,159 × 135,159
  4. Step 4: Simplify right side
    62,654x = 18,267,955,281
  5. Step 5: Solve for x
    x = 18,267,955,281/62,654
  6. Step 6: Final answer
    x = 291,568.86

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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.