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Finding the Third Proportional to 59,373 and 85,048

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Solution

The third proportional to 59,373 and 85,048 is: 121,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,373 : 85,048 = 85,048 : x
  2. Step 2: Convert to fraction form
    59,373/85,048 = 85,048/x
  3. Step 3: Cross multiply
    59,373x = 85,048 × 85,048
  4. Step 4: Simplify right side
    59,373x = 7,233,162,304
  5. Step 5: Solve for x
    x = 7,233,162,304/59,373
  6. Step 6: Final answer
    x = 121,825.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.