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Finding the Third Proportional to 108,732.38 and 153,120.38

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Solution

The third proportional to 108,732.38 and 153,120.38 is: 215,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,732.38 : 153,120.38 = 153,120.38 : x
  2. Step 2: Convert to fraction form
    108,732.38/153,120.38 = 153,120.38/x
  3. Step 3: Cross multiply
    108,732.38x = 153,120.38 × 153,120.38
  4. Step 4: Simplify right side
    108,732.38x = 23,445,849,240.14
  5. Step 5: Solve for x
    x = 23,445,849,240.14/108,732.38
  6. Step 6: Final answer
    x = 215,628.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.