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Finding the Third Proportional to 49,822 and 107,516

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Solution

The third proportional to 49,822 and 107,516 is: 232,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,822 : 107,516 = 107,516 : x
  2. Step 2: Convert to fraction form
    49,822/107,516 = 107,516/x
  3. Step 3: Cross multiply
    49,822x = 107,516 × 107,516
  4. Step 4: Simplify right side
    49,822x = 11,559,690,256
  5. Step 5: Solve for x
    x = 11,559,690,256/49,822
  6. Step 6: Final answer
    x = 232,019.80

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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.