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Finding the Third Proportional to 63,905.50 and 138,390

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Solution

The third proportional to 63,905.50 and 138,390 is: 299,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,905.50 : 138,390 = 138,390 : x
  2. Step 2: Convert to fraction form
    63,905.50/138,390 = 138,390/x
  3. Step 3: Cross multiply
    63,905.50x = 138,390 × 138,390
  4. Step 4: Simplify right side
    63,905.50x = 19,151,792,100
  5. Step 5: Solve for x
    x = 19,151,792,100/63,905.50
  6. Step 6: Final answer
    x = 299,689.26

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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.