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Finding the Third Proportional to 70,691.75 and 151,502.50

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Solution

The third proportional to 70,691.75 and 151,502.50 is: 324,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,691.75 : 151,502.50 = 151,502.50 : x
  2. Step 2: Convert to fraction form
    70,691.75/151,502.50 = 151,502.50/x
  3. Step 3: Cross multiply
    70,691.75x = 151,502.50 × 151,502.50
  4. Step 4: Simplify right side
    70,691.75x = 22,953,007,506.25
  5. Step 5: Solve for x
    x = 22,953,007,506.25/70,691.75
  6. Step 6: Final answer
    x = 324,691.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.