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Finding the Third Proportional to 44,330 and 95,246

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Solution

The third proportional to 44,330 and 95,246 is: 204,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,330 : 95,246 = 95,246 : x
  2. Step 2: Convert to fraction form
    44,330/95,246 = 95,246/x
  3. Step 3: Cross multiply
    44,330x = 95,246 × 95,246
  4. Step 4: Simplify right side
    44,330x = 9,071,800,516
  5. Step 5: Solve for x
    x = 9,071,800,516/44,330
  6. Step 6: Final answer
    x = 204,642.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.