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Finding the Third Proportional to 90,569.25 and 133,082.75

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Solution

The third proportional to 90,569.25 and 133,082.75 is: 195,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,569.25 : 133,082.75 = 133,082.75 : x
  2. Step 2: Convert to fraction form
    90,569.25/133,082.75 = 133,082.75/x
  3. Step 3: Cross multiply
    90,569.25x = 133,082.75 × 133,082.75
  4. Step 4: Simplify right side
    90,569.25x = 17,711,018,347.56
  5. Step 5: Solve for x
    x = 17,711,018,347.56/90,569.25
  6. Step 6: Final answer
    x = 195,552.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.