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Finding the Third Proportional to 101,036 and 156,873

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Solution

The third proportional to 101,036 and 156,873 is: 243,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,036 : 156,873 = 156,873 : x
  2. Step 2: Convert to fraction form
    101,036/156,873 = 156,873/x
  3. Step 3: Cross multiply
    101,036x = 156,873 × 156,873
  4. Step 4: Simplify right side
    101,036x = 24,609,138,129
  5. Step 5: Solve for x
    x = 24,609,138,129/101,036
  6. Step 6: Final answer
    x = 243,568.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.