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Finding the Third Proportional to 48,778 and 106,862

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Solution

The third proportional to 48,778 and 106,862 is: 234,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,778 : 106,862 = 106,862 : x
  2. Step 2: Convert to fraction form
    48,778/106,862 = 106,862/x
  3. Step 3: Cross multiply
    48,778x = 106,862 × 106,862
  4. Step 4: Simplify right side
    48,778x = 11,419,487,044
  5. Step 5: Solve for x
    x = 11,419,487,044/48,778
  6. Step 6: Final answer
    x = 234,111.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.