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Finding the Third Proportional to 113,862 and 171,159

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Solution

The third proportional to 113,862 and 171,159 is: 257,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,862 : 171,159 = 171,159 : x
  2. Step 2: Convert to fraction form
    113,862/171,159 = 171,159/x
  3. Step 3: Cross multiply
    113,862x = 171,159 × 171,159
  4. Step 4: Simplify right side
    113,862x = 29,295,403,281
  5. Step 5: Solve for x
    x = 29,295,403,281/113,862
  6. Step 6: Final answer
    x = 257,288.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.