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Finding the Third Proportional to 72,830 and 98,399

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Solution

The third proportional to 72,830 and 98,399 is: 132,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,830 : 98,399 = 98,399 : x
  2. Step 2: Convert to fraction form
    72,830/98,399 = 98,399/x
  3. Step 3: Cross multiply
    72,830x = 98,399 × 98,399
  4. Step 4: Simplify right side
    72,830x = 9,682,363,201
  5. Step 5: Solve for x
    x = 9,682,363,201/72,830
  6. Step 6: Final answer
    x = 132,944.71

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