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Finding the Third Proportional to 67,891.50 and 105,931.13

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Solution

The third proportional to 67,891.50 and 105,931.13 is: 165,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,891.50 : 105,931.13 = 105,931.13 : x
  2. Step 2: Convert to fraction form
    67,891.50/105,931.13 = 105,931.13/x
  3. Step 3: Cross multiply
    67,891.50x = 105,931.13 × 105,931.13
  4. Step 4: Simplify right side
    67,891.50x = 11,221,403,243.77
  5. Step 5: Solve for x
    x = 11,221,403,243.77/67,891.50
  6. Step 6: Final answer
    x = 165,284.36

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.