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Finding the Third Proportional to 122,213.81 and 186,958.13

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Solution

The third proportional to 122,213.81 and 186,958.13 is: 286,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,213.81 : 186,958.13 = 186,958.13 : x
  2. Step 2: Convert to fraction form
    122,213.81/186,958.13 = 186,958.13/x
  3. Step 3: Cross multiply
    122,213.81x = 186,958.13 × 186,958.13
  4. Step 4: Simplify right side
    122,213.81x = 34,953,340,503.52
  5. Step 5: Solve for x
    x = 34,953,340,503.52/122,213.81
  6. Step 6: Final answer
    x = 286,001.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.