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Finding the Third Proportional to 62,180 and 135,742.75

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Solution

The third proportional to 62,180 and 135,742.75 is: 296,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,180 : 135,742.75 = 135,742.75 : x
  2. Step 2: Convert to fraction form
    62,180/135,742.75 = 135,742.75/x
  3. Step 3: Cross multiply
    62,180x = 135,742.75 × 135,742.75
  4. Step 4: Simplify right side
    62,180x = 18,426,094,177.56
  5. Step 5: Solve for x
    x = 18,426,094,177.56/62,180
  6. Step 6: Final answer
    x = 296,334.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.