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Finding the Third Proportional to 113,413 and 167,533

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Solution

The third proportional to 113,413 and 167,533 is: 247,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,413 : 167,533 = 167,533 : x
  2. Step 2: Convert to fraction form
    113,413/167,533 = 167,533/x
  3. Step 3: Cross multiply
    113,413x = 167,533 × 167,533
  4. Step 4: Simplify right side
    113,413x = 28,067,306,089
  5. Step 5: Solve for x
    x = 28,067,306,089/113,413
  6. Step 6: Final answer
    x = 247,478.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.