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Finding the Third Proportional to 113,810 and 167,790

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Solution

The third proportional to 113,810 and 167,790 is: 247,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,810 : 167,790 = 167,790 : x
  2. Step 2: Convert to fraction form
    113,810/167,790 = 167,790/x
  3. Step 3: Cross multiply
    113,810x = 167,790 × 167,790
  4. Step 4: Simplify right side
    113,810x = 28,153,484,100
  5. Step 5: Solve for x
    x = 28,153,484,100/113,810
  6. Step 6: Final answer
    x = 247,372.67

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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.