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Finding the Third Proportional to 62,417 and 130,017

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Solution

The third proportional to 62,417 and 130,017 is: 270,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,417 : 130,017 = 130,017 : x
  2. Step 2: Convert to fraction form
    62,417/130,017 = 130,017/x
  3. Step 3: Cross multiply
    62,417x = 130,017 × 130,017
  4. Step 4: Simplify right side
    62,417x = 16,904,420,289
  5. Step 5: Solve for x
    x = 16,904,420,289/62,417
  6. Step 6: Final answer
    x = 270,830.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.