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Finding the Third Proportional to 72,073.13 and 112,735.97

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Solution

The third proportional to 72,073.13 and 112,735.97 is: 176,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,073.13 : 112,735.97 = 112,735.97 : x
  2. Step 2: Convert to fraction form
    72,073.13/112,735.97 = 112,735.97/x
  3. Step 3: Cross multiply
    72,073.13x = 112,735.97 × 112,735.97
  4. Step 4: Simplify right side
    72,073.13x = 12,709,398,650.00
  5. Step 5: Solve for x
    x = 12,709,398,650.00/72,073.13
  6. Step 6: Final answer
    x = 176,340.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.