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Finding the Third Proportional to 49,464 and 102,376

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Solution

The third proportional to 49,464 and 102,376 is: 211,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464 : 102,376 = 102,376 : x
  2. Step 2: Convert to fraction form
    49,464/102,376 = 102,376/x
  3. Step 3: Cross multiply
    49,464x = 102,376 × 102,376
  4. Step 4: Simplify right side
    49,464x = 10,480,845,376
  5. Step 5: Solve for x
    x = 10,480,845,376/49,464
  6. Step 6: Final answer
    x = 211,888.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.