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Finding the Third Proportional to 62,736 and 130,656

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Solution

The third proportional to 62,736 and 130,656 is: 272,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,736 : 130,656 = 130,656 : x
  2. Step 2: Convert to fraction form
    62,736/130,656 = 130,656/x
  3. Step 3: Cross multiply
    62,736x = 130,656 × 130,656
  4. Step 4: Simplify right side
    62,736x = 17,070,990,336
  5. Step 5: Solve for x
    x = 17,070,990,336/62,736
  6. Step 6: Final answer
    x = 272,108.36

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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.