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Finding the Third Proportional to 72,896 and 95,716

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Solution

The third proportional to 72,896 and 95,716 is: 125,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,896 : 95,716 = 95,716 : x
  2. Step 2: Convert to fraction form
    72,896/95,716 = 95,716/x
  3. Step 3: Cross multiply
    72,896x = 95,716 × 95,716
  4. Step 4: Simplify right side
    72,896x = 9,161,552,656
  5. Step 5: Solve for x
    x = 9,161,552,656/72,896
  6. Step 6: Final answer
    x = 125,679.77

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.