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Finding the Third Proportional to 63,374.25 and 137,696.25

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Solution

The third proportional to 63,374.25 and 137,696.25 is: 299,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,374.25 : 137,696.25 = 137,696.25 : x
  2. Step 2: Convert to fraction form
    63,374.25/137,696.25 = 137,696.25/x
  3. Step 3: Cross multiply
    63,374.25x = 137,696.25 × 137,696.25
  4. Step 4: Simplify right side
    63,374.25x = 18,960,257,264.06
  5. Step 5: Solve for x
    x = 18,960,257,264.06/63,374.25
  6. Step 6: Final answer
    x = 299,179.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.