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Finding the Third Proportional to 72,961 and 98,614

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Solution

The third proportional to 72,961 and 98,614 is: 133,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,961 : 98,614 = 98,614 : x
  2. Step 2: Convert to fraction form
    72,961/98,614 = 98,614/x
  3. Step 3: Cross multiply
    72,961x = 98,614 × 98,614
  4. Step 4: Simplify right side
    72,961x = 9,724,720,996
  5. Step 5: Solve for x
    x = 9,724,720,996/72,961
  6. Step 6: Final answer
    x = 133,286.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.