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Finding the Third Proportional to 48,290 and 102,376

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Solution

The third proportional to 48,290 and 102,376 is: 217,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,290 : 102,376 = 102,376 : x
  2. Step 2: Convert to fraction form
    48,290/102,376 = 102,376/x
  3. Step 3: Cross multiply
    48,290x = 102,376 × 102,376
  4. Step 4: Simplify right side
    48,290x = 10,480,845,376
  5. Step 5: Solve for x
    x = 10,480,845,376/48,290
  6. Step 6: Final answer
    x = 217,039.66

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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.