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Finding the Third Proportional to 72,663 and 98,625

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Solution

The third proportional to 72,663 and 98,625 is: 133,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,663 : 98,625 = 98,625 : x
  2. Step 2: Convert to fraction form
    72,663/98,625 = 98,625/x
  3. Step 3: Cross multiply
    72,663x = 98,625 × 98,625
  4. Step 4: Simplify right side
    72,663x = 9,726,890,625
  5. Step 5: Solve for x
    x = 9,726,890,625/72,663
  6. Step 6: Final answer
    x = 133,863.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.