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Finding the Third Proportional to 96,729.75 and 129,008.25

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Solution

The third proportional to 96,729.75 and 129,008.25 is: 172,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,729.75 : 129,008.25 = 129,008.25 : x
  2. Step 2: Convert to fraction form
    96,729.75/129,008.25 = 129,008.25/x
  3. Step 3: Cross multiply
    96,729.75x = 129,008.25 × 129,008.25
  4. Step 4: Simplify right side
    96,729.75x = 16,643,128,568.06
  5. Step 5: Solve for x
    x = 16,643,128,568.06/96,729.75
  6. Step 6: Final answer
    x = 172,058.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.