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Finding the Third Proportional to 62,408 and 136,478

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Solution

The third proportional to 62,408 and 136,478 is: 298,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,408 : 136,478 = 136,478 : x
  2. Step 2: Convert to fraction form
    62,408/136,478 = 136,478/x
  3. Step 3: Cross multiply
    62,408x = 136,478 × 136,478
  4. Step 4: Simplify right side
    62,408x = 18,626,244,484
  5. Step 5: Solve for x
    x = 18,626,244,484/62,408
  6. Step 6: Final answer
    x = 298,459.24

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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.