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Finding the Third Proportional to 29,158 and 62,564

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Solution

The third proportional to 29,158 and 62,564 is: 134,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,158 : 62,564 = 62,564 : x
  2. Step 2: Convert to fraction form
    29,158/62,564 = 62,564/x
  3. Step 3: Cross multiply
    29,158x = 62,564 × 62,564
  4. Step 4: Simplify right side
    29,158x = 3,914,254,096
  5. Step 5: Solve for x
    x = 3,914,254,096/29,158
  6. Step 6: Final answer
    x = 134,242.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.