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Finding the Third Proportional to 68,295.34 and 103,395.55

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Solution

The third proportional to 68,295.34 and 103,395.55 is: 156,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,295.34 : 103,395.55 = 103,395.55 : x
  2. Step 2: Convert to fraction form
    68,295.34/103,395.55 = 103,395.55/x
  3. Step 3: Cross multiply
    68,295.34x = 103,395.55 × 103,395.55
  4. Step 4: Simplify right side
    68,295.34x = 10,690,639,921.36
  5. Step 5: Solve for x
    x = 10,690,639,921.36/68,295.34
  6. Step 6: Final answer
    x = 156,535.42

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