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Finding the Third Proportional to 88,948.13 and 138,525.19

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Solution

The third proportional to 88,948.13 and 138,525.19 is: 215,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,948.13 : 138,525.19 = 138,525.19 : x
  2. Step 2: Convert to fraction form
    88,948.13/138,525.19 = 138,525.19/x
  3. Step 3: Cross multiply
    88,948.13x = 138,525.19 × 138,525.19
  4. Step 4: Simplify right side
    88,948.13x = 19,189,227,571.91
  5. Step 5: Solve for x
    x = 19,189,227,571.91/88,948.13
  6. Step 6: Final answer
    x = 215,735.04

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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.