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Finding the Third Proportional to 71,695.13 and 108,514.69

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Solution

The third proportional to 71,695.13 and 108,514.69 is: 164,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.13 : 108,514.69 = 108,514.69 : x
  2. Step 2: Convert to fraction form
    71,695.13/108,514.69 = 108,514.69/x
  3. Step 3: Cross multiply
    71,695.13x = 108,514.69 × 108,514.69
  4. Step 4: Simplify right side
    71,695.13x = 11,775,437,403.22
  5. Step 5: Solve for x
    x = 11,775,437,403.22/71,695.13
  6. Step 6: Final answer
    x = 164,243.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.