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Finding the Third Proportional to 97,881 and 148,873

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Solution

The third proportional to 97,881 and 148,873 is: 226,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881 : 148,873 = 148,873 : x
  2. Step 2: Convert to fraction form
    97,881/148,873 = 148,873/x
  3. Step 3: Cross multiply
    97,881x = 148,873 × 148,873
  4. Step 4: Simplify right side
    97,881x = 22,163,170,129
  5. Step 5: Solve for x
    x = 22,163,170,129/97,881
  6. Step 6: Final answer
    x = 226,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.