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Finding the Third Proportional to 67,161.66 and 141,246.28

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Solution

The third proportional to 67,161.66 and 141,246.28 is: 297,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,161.66 : 141,246.28 = 141,246.28 : x
  2. Step 2: Convert to fraction form
    67,161.66/141,246.28 = 141,246.28/x
  3. Step 3: Cross multiply
    67,161.66x = 141,246.28 × 141,246.28
  4. Step 4: Simplify right side
    67,161.66x = 19,950,511,966.95
  5. Step 5: Solve for x
    x = 19,950,511,966.95/67,161.66
  6. Step 6: Final answer
    x = 297,052.11

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Why These Related Problems?

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