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Finding the Third Proportional to 116,306 and 167,681

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Solution

The third proportional to 116,306 and 167,681 is: 241,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,306 : 167,681 = 167,681 : x
  2. Step 2: Convert to fraction form
    116,306/167,681 = 167,681/x
  3. Step 3: Cross multiply
    116,306x = 167,681 × 167,681
  4. Step 4: Simplify right side
    116,306x = 28,116,917,761
  5. Step 5: Solve for x
    x = 28,116,917,761/116,306
  6. Step 6: Final answer
    x = 241,749.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.