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Finding the Third Proportional to 97,885 and 148,879

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Solution

The third proportional to 97,885 and 148,879 is: 226,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,885 : 148,879 = 148,879 : x
  2. Step 2: Convert to fraction form
    97,885/148,879 = 148,879/x
  3. Step 3: Cross multiply
    97,885x = 148,879 × 148,879
  4. Step 4: Simplify right side
    97,885x = 22,164,956,641
  5. Step 5: Solve for x
    x = 22,164,956,641/97,885
  6. Step 6: Final answer
    x = 226,438.75

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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.