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Finding the Third Proportional to 65,572.88 and 96,207.19

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Solution

The third proportional to 65,572.88 and 96,207.19 is: 141,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,572.88 : 96,207.19 = 96,207.19 : x
  2. Step 2: Convert to fraction form
    65,572.88/96,207.19 = 96,207.19/x
  3. Step 3: Cross multiply
    65,572.88x = 96,207.19 × 96,207.19
  4. Step 4: Simplify right side
    65,572.88x = 9,255,822,926.66
  5. Step 5: Solve for x
    x = 9,255,822,926.66/65,572.88
  6. Step 6: Final answer
    x = 141,153.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.