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Finding the Third Proportional to 44,282 and 95,948

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Solution

The third proportional to 44,282 and 95,948 is: 207,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,282 : 95,948 = 95,948 : x
  2. Step 2: Convert to fraction form
    44,282/95,948 = 95,948/x
  3. Step 3: Cross multiply
    44,282x = 95,948 × 95,948
  4. Step 4: Simplify right side
    44,282x = 9,206,018,704
  5. Step 5: Solve for x
    x = 9,206,018,704/44,282
  6. Step 6: Final answer
    x = 207,895.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.