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Finding the Third Proportional to 95,496 and 202,376

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Solution

The third proportional to 95,496 and 202,376 is: 428,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,496 : 202,376 = 202,376 : x
  2. Step 2: Convert to fraction form
    95,496/202,376 = 202,376/x
  3. Step 3: Cross multiply
    95,496x = 202,376 × 202,376
  4. Step 4: Simplify right side
    95,496x = 40,956,045,376
  5. Step 5: Solve for x
    x = 40,956,045,376/95,496
  6. Step 6: Final answer
    x = 428,877.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.