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Finding the Third Proportional to 48,549 and 105,882

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Solution

The third proportional to 48,549 and 105,882 is: 230,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,549 : 105,882 = 105,882 : x
  2. Step 2: Convert to fraction form
    48,549/105,882 = 105,882/x
  3. Step 3: Cross multiply
    48,549x = 105,882 × 105,882
  4. Step 4: Simplify right side
    48,549x = 11,210,997,924
  5. Step 5: Solve for x
    x = 11,210,997,924/48,549
  6. Step 6: Final answer
    x = 230,921.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.