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Finding the Third Proportional to 61,246.13 and 144,100.90

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Solution

The third proportional to 61,246.13 and 144,100.90 is: 339,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,246.13 : 144,100.90 = 144,100.90 : x
  2. Step 2: Convert to fraction form
    61,246.13/144,100.90 = 144,100.90/x
  3. Step 3: Cross multiply
    61,246.13x = 144,100.90 × 144,100.90
  4. Step 4: Simplify right side
    61,246.13x = 20,765,068,930.49
  5. Step 5: Solve for x
    x = 20,765,068,930.49/61,246.13
  6. Step 6: Final answer
    x = 339,042.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.