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Finding the Third Proportional to 113,421 and 167,545

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Solution

The third proportional to 113,421 and 167,545 is: 247,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,421 : 167,545 = 167,545 : x
  2. Step 2: Convert to fraction form
    113,421/167,545 = 167,545/x
  3. Step 3: Cross multiply
    113,421x = 167,545 × 167,545
  4. Step 4: Simplify right side
    113,421x = 28,071,327,025
  5. Step 5: Solve for x
    x = 28,071,327,025/113,421
  6. Step 6: Final answer
    x = 247,496.73

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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.