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Finding the Third Proportional to 88,615.69 and 132,344.16

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Solution

The third proportional to 88,615.69 and 132,344.16 is: 197,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,615.69 : 132,344.16 = 132,344.16 : x
  2. Step 2: Convert to fraction form
    88,615.69/132,344.16 = 132,344.16/x
  3. Step 3: Cross multiply
    88,615.69x = 132,344.16 × 132,344.16
  4. Step 4: Simplify right side
    88,615.69x = 17,514,975,693.52
  5. Step 5: Solve for x
    x = 17,514,975,693.52/88,615.69
  6. Step 6: Final answer
    x = 197,650.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.