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Finding the Third Proportional to 62,800 and 130,712

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Solution

The third proportional to 62,800 and 130,712 is: 272,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,800 : 130,712 = 130,712 : x
  2. Step 2: Convert to fraction form
    62,800/130,712 = 130,712/x
  3. Step 3: Cross multiply
    62,800x = 130,712 × 130,712
  4. Step 4: Simplify right side
    62,800x = 17,085,626,944
  5. Step 5: Solve for x
    x = 17,085,626,944/62,800
  6. Step 6: Final answer
    x = 272,064.12

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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.