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Finding the Third Proportional to 54,332 and 112,048

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Solution

The third proportional to 54,332 and 112,048 is: 231,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,332 : 112,048 = 112,048 : x
  2. Step 2: Convert to fraction form
    54,332/112,048 = 112,048/x
  3. Step 3: Cross multiply
    54,332x = 112,048 × 112,048
  4. Step 4: Simplify right side
    54,332x = 12,554,754,304
  5. Step 5: Solve for x
    x = 12,554,754,304/54,332
  6. Step 6: Final answer
    x = 231,074.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.