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Finding the Third Proportional to 49,866 and 107,659

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Solution

The third proportional to 49,866 and 107,659 is: 232,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,866 : 107,659 = 107,659 : x
  2. Step 2: Convert to fraction form
    49,866/107,659 = 107,659/x
  3. Step 3: Cross multiply
    49,866x = 107,659 × 107,659
  4. Step 4: Simplify right side
    49,866x = 11,590,460,281
  5. Step 5: Solve for x
    x = 11,590,460,281/49,866
  6. Step 6: Final answer
    x = 232,432.12

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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.