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Finding the Third Proportional to 44,542 and 94,864

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Solution

The third proportional to 44,542 and 94,864 is: 202,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,542 : 94,864 = 94,864 : x
  2. Step 2: Convert to fraction form
    44,542/94,864 = 94,864/x
  3. Step 3: Cross multiply
    44,542x = 94,864 × 94,864
  4. Step 4: Simplify right side
    44,542x = 8,999,178,496
  5. Step 5: Solve for x
    x = 8,999,178,496/44,542
  6. Step 6: Final answer
    x = 202,038.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.