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Finding the Third Proportional to 75,004.73 and 101,032.31

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Solution

The third proportional to 75,004.73 and 101,032.31 is: 136,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,004.73 : 101,032.31 = 101,032.31 : x
  2. Step 2: Convert to fraction form
    75,004.73/101,032.31 = 101,032.31/x
  3. Step 3: Cross multiply
    75,004.73x = 101,032.31 × 101,032.31
  4. Step 4: Simplify right side
    75,004.73x = 10,207,528,169.10
  5. Step 5: Solve for x
    x = 10,207,528,169.10/75,004.73
  6. Step 6: Final answer
    x = 136,091.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.