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Finding the Third Proportional to 67,159.13 and 141,213.38

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Solution

The third proportional to 67,159.13 and 141,213.38 is: 296,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,159.13 : 141,213.38 = 141,213.38 : x
  2. Step 2: Convert to fraction form
    67,159.13/141,213.38 = 141,213.38/x
  3. Step 3: Cross multiply
    67,159.13x = 141,213.38 × 141,213.38
  4. Step 4: Simplify right side
    67,159.13x = 19,941,217,278.89
  5. Step 5: Solve for x
    x = 19,941,217,278.89/67,159.13
  6. Step 6: Final answer
    x = 296,924.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.