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Finding the Third Proportional to 72,922 and 95,755

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Solution

The third proportional to 72,922 and 95,755 is: 125,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,922 : 95,755 = 95,755 : x
  2. Step 2: Convert to fraction form
    72,922/95,755 = 95,755/x
  3. Step 3: Cross multiply
    72,922x = 95,755 × 95,755
  4. Step 4: Simplify right side
    72,922x = 9,169,020,025
  5. Step 5: Solve for x
    x = 9,169,020,025/72,922
  6. Step 6: Final answer
    x = 125,737.36

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Why These Related Problems?

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