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Finding the Third Proportional to 63,784.97 and 138,437.44

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Solution

The third proportional to 63,784.97 and 138,437.44 is: 300,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,784.97 : 138,437.44 = 138,437.44 : x
  2. Step 2: Convert to fraction form
    63,784.97/138,437.44 = 138,437.44/x
  3. Step 3: Cross multiply
    63,784.97x = 138,437.44 × 138,437.44
  4. Step 4: Simplify right side
    63,784.97x = 19,164,924,101.57
  5. Step 5: Solve for x
    x = 19,164,924,101.57/63,784.97
  6. Step 6: Final answer
    x = 300,461.45

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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.