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Finding the Third Proportional to 62,377 and 136,417

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Solution

The third proportional to 62,377 and 136,417 is: 298,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,377 : 136,417 = 136,417 : x
  2. Step 2: Convert to fraction form
    62,377/136,417 = 136,417/x
  3. Step 3: Cross multiply
    62,377x = 136,417 × 136,417
  4. Step 4: Simplify right side
    62,377x = 18,609,597,889
  5. Step 5: Solve for x
    x = 18,609,597,889/62,377
  6. Step 6: Final answer
    x = 298,340.70

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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.