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Finding the Third Proportional to 72,006 and 98,883

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Solution

The third proportional to 72,006 and 98,883 is: 135,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,006 : 98,883 = 98,883 : x
  2. Step 2: Convert to fraction form
    72,006/98,883 = 98,883/x
  3. Step 3: Cross multiply
    72,006x = 98,883 × 98,883
  4. Step 4: Simplify right side
    72,006x = 9,777,847,689
  5. Step 5: Solve for x
    x = 9,777,847,689/72,006
  6. Step 6: Final answer
    x = 135,792.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.