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Finding the Third Proportional to 68,877.75 and 106,387.13

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Solution

The third proportional to 68,877.75 and 106,387.13 is: 164,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,877.75 : 106,387.13 = 106,387.13 : x
  2. Step 2: Convert to fraction form
    68,877.75/106,387.13 = 106,387.13/x
  3. Step 3: Cross multiply
    68,877.75x = 106,387.13 × 106,387.13
  4. Step 4: Simplify right side
    68,877.75x = 11,318,220,365.77
  5. Step 5: Solve for x
    x = 11,318,220,365.77/68,877.75
  6. Step 6: Final answer
    x = 164,323.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.