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Finding the Third Proportional to 100,060 and 140,730

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Solution

The third proportional to 100,060 and 140,730 is: 197,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,060 : 140,730 = 140,730 : x
  2. Step 2: Convert to fraction form
    100,060/140,730 = 140,730/x
  3. Step 3: Cross multiply
    100,060x = 140,730 × 140,730
  4. Step 4: Simplify right side
    100,060x = 19,804,932,900
  5. Step 5: Solve for x
    x = 19,804,932,900/100,060
  6. Step 6: Final answer
    x = 197,930.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.