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Finding the Third Proportional to 62,244 and 136,582

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Solution

The third proportional to 62,244 and 136,582 is: 299,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,244 : 136,582 = 136,582 : x
  2. Step 2: Convert to fraction form
    62,244/136,582 = 136,582/x
  3. Step 3: Cross multiply
    62,244x = 136,582 × 136,582
  4. Step 4: Simplify right side
    62,244x = 18,654,642,724
  5. Step 5: Solve for x
    x = 18,654,642,724/62,244
  6. Step 6: Final answer
    x = 299,701.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.