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Finding the Third Proportional to 63,592.25 and 138,119.50

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Solution

The third proportional to 63,592.25 and 138,119.50 is: 299,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,592.25 : 138,119.50 = 138,119.50 : x
  2. Step 2: Convert to fraction form
    63,592.25/138,119.50 = 138,119.50/x
  3. Step 3: Cross multiply
    63,592.25x = 138,119.50 × 138,119.50
  4. Step 4: Simplify right side
    63,592.25x = 19,076,996,280.25
  5. Step 5: Solve for x
    x = 19,076,996,280.25/63,592.25
  6. Step 6: Final answer
    x = 299,989.33

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Why These Related Problems?

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