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Finding the Third Proportional to 95,104.13 and 142,354.13

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Solution

The third proportional to 95,104.13 and 142,354.13 is: 213,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,104.13 : 142,354.13 = 142,354.13 : x
  2. Step 2: Convert to fraction form
    95,104.13/142,354.13 = 142,354.13/x
  3. Step 3: Cross multiply
    95,104.13x = 142,354.13 × 142,354.13
  4. Step 4: Simplify right side
    95,104.13x = 20,264,696,904.52
  5. Step 5: Solve for x
    x = 20,264,696,904.52/95,104.13
  6. Step 6: Final answer
    x = 213,079.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.