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Finding the Third Proportional to 63,577.13 and 96,184.13

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Solution

The third proportional to 63,577.13 and 96,184.13 is: 145,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,577.13 : 96,184.13 = 96,184.13 : x
  2. Step 2: Convert to fraction form
    63,577.13/96,184.13 = 96,184.13/x
  3. Step 3: Cross multiply
    63,577.13x = 96,184.13 × 96,184.13
  4. Step 4: Simplify right side
    63,577.13x = 9,251,385,902.02
  5. Step 5: Solve for x
    x = 9,251,385,902.02/63,577.13
  6. Step 6: Final answer
    x = 145,514.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.