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Finding the Third Proportional to 108,005.91 and 148,321.13

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Solution

The third proportional to 108,005.91 and 148,321.13 is: 203,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,005.91 : 148,321.13 = 148,321.13 : x
  2. Step 2: Convert to fraction form
    108,005.91/148,321.13 = 148,321.13/x
  3. Step 3: Cross multiply
    108,005.91x = 148,321.13 × 148,321.13
  4. Step 4: Simplify right side
    108,005.91x = 21,999,156,121.27
  5. Step 5: Solve for x
    x = 21,999,156,121.27/108,005.91
  6. Step 6: Final answer
    x = 203,684.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.