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Finding the Third Proportional to 89,032.50 and 195,561

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Solution

The third proportional to 89,032.50 and 195,561 is: 429,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,032.50 : 195,561 = 195,561 : x
  2. Step 2: Convert to fraction form
    89,032.50/195,561 = 195,561/x
  3. Step 3: Cross multiply
    89,032.50x = 195,561 × 195,561
  4. Step 4: Simplify right side
    89,032.50x = 38,244,104,721
  5. Step 5: Solve for x
    x = 38,244,104,721/89,032.50
  6. Step 6: Final answer
    x = 429,552.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.