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Finding the Third Proportional to 57,726 and 91,521

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Solution

The third proportional to 57,726 and 91,521 is: 145,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,726 : 91,521 = 91,521 : x
  2. Step 2: Convert to fraction form
    57,726/91,521 = 91,521/x
  3. Step 3: Cross multiply
    57,726x = 91,521 × 91,521
  4. Step 4: Simplify right side
    57,726x = 8,376,093,441
  5. Step 5: Solve for x
    x = 8,376,093,441/57,726
  6. Step 6: Final answer
    x = 145,100.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.