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Finding the Third Proportional to 49,260 and 108,376

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Solution

The third proportional to 49,260 and 108,376 is: 238,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,260 : 108,376 = 108,376 : x
  2. Step 2: Convert to fraction form
    49,260/108,376 = 108,376/x
  3. Step 3: Cross multiply
    49,260x = 108,376 × 108,376
  4. Step 4: Simplify right side
    49,260x = 11,745,357,376
  5. Step 5: Solve for x
    x = 11,745,357,376/49,260
  6. Step 6: Final answer
    x = 238,436.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.