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Finding the Third Proportional to 45,549 and 96,048

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Solution

The third proportional to 45,549 and 96,048 is: 202,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,549 : 96,048 = 96,048 : x
  2. Step 2: Convert to fraction form
    45,549/96,048 = 96,048/x
  3. Step 3: Cross multiply
    45,549x = 96,048 × 96,048
  4. Step 4: Simplify right side
    45,549x = 9,225,218,304
  5. Step 5: Solve for x
    x = 9,225,218,304/45,549
  6. Step 6: Final answer
    x = 202,533.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.