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Finding the Third Proportional to 96,934.13 and 142,021.88

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Solution

The third proportional to 96,934.13 and 142,021.88 is: 208,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,934.13 : 142,021.88 = 142,021.88 : x
  2. Step 2: Convert to fraction form
    96,934.13/142,021.88 = 142,021.88/x
  3. Step 3: Cross multiply
    96,934.13x = 142,021.88 × 142,021.88
  4. Step 4: Simplify right side
    96,934.13x = 20,170,212,978.52
  5. Step 5: Solve for x
    x = 20,170,212,978.52/96,934.13
  6. Step 6: Final answer
    x = 208,081.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.