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Finding the Third Proportional to 113,759 and 167,721

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Solution

The third proportional to 113,759 and 167,721 is: 247,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,759 : 167,721 = 167,721 : x
  2. Step 2: Convert to fraction form
    113,759/167,721 = 167,721/x
  3. Step 3: Cross multiply
    113,759x = 167,721 × 167,721
  4. Step 4: Simplify right side
    113,759x = 28,130,333,841
  5. Step 5: Solve for x
    x = 28,130,333,841/113,759
  6. Step 6: Final answer
    x = 247,280.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.