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Finding the Third Proportional to 101,801 and 158,518

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Solution

The third proportional to 101,801 and 158,518 is: 246,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,801 : 158,518 = 158,518 : x
  2. Step 2: Convert to fraction form
    101,801/158,518 = 158,518/x
  3. Step 3: Cross multiply
    101,801x = 158,518 × 158,518
  4. Step 4: Simplify right side
    101,801x = 25,127,956,324
  5. Step 5: Solve for x
    x = 25,127,956,324/101,801
  6. Step 6: Final answer
    x = 246,834.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.