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Finding the Third Proportional to 54,718 and 89,340

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Solution

The third proportional to 54,718 and 89,340 is: 145,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,718 : 89,340 = 89,340 : x
  2. Step 2: Convert to fraction form
    54,718/89,340 = 89,340/x
  3. Step 3: Cross multiply
    54,718x = 89,340 × 89,340
  4. Step 4: Simplify right side
    54,718x = 7,981,635,600
  5. Step 5: Solve for x
    x = 7,981,635,600/54,718
  6. Step 6: Final answer
    x = 145,868.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.