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Finding the Third Proportional to 49,924 and 107,624

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Solution

The third proportional to 49,924 and 107,624 is: 232,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924 : 107,624 = 107,624 : x
  2. Step 2: Convert to fraction form
    49,924/107,624 = 107,624/x
  3. Step 3: Cross multiply
    49,924x = 107,624 × 107,624
  4. Step 4: Simplify right side
    49,924x = 11,582,925,376
  5. Step 5: Solve for x
    x = 11,582,925,376/49,924
  6. Step 6: Final answer
    x = 232,011.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.