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Finding the Third Proportional to 43,464 and 95,376

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Solution

The third proportional to 43,464 and 95,376 is: 209,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,464 : 95,376 = 95,376 : x
  2. Step 2: Convert to fraction form
    43,464/95,376 = 95,376/x
  3. Step 3: Cross multiply
    43,464x = 95,376 × 95,376
  4. Step 4: Simplify right side
    43,464x = 9,096,581,376
  5. Step 5: Solve for x
    x = 9,096,581,376/43,464
  6. Step 6: Final answer
    x = 209,290.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.