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Finding the Third Proportional to 72,241 and 95,854

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Solution

The third proportional to 72,241 and 95,854 is: 127,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,241 : 95,854 = 95,854 : x
  2. Step 2: Convert to fraction form
    72,241/95,854 = 95,854/x
  3. Step 3: Cross multiply
    72,241x = 95,854 × 95,854
  4. Step 4: Simplify right side
    72,241x = 9,187,989,316
  5. Step 5: Solve for x
    x = 9,187,989,316/72,241
  6. Step 6: Final answer
    x = 127,185.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.