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Finding the Third Proportional to 67,537.38 and 146,966.75

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Solution

The third proportional to 67,537.38 and 146,966.75 is: 319,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,537.38 : 146,966.75 = 146,966.75 : x
  2. Step 2: Convert to fraction form
    67,537.38/146,966.75 = 146,966.75/x
  3. Step 3: Cross multiply
    67,537.38x = 146,966.75 × 146,966.75
  4. Step 4: Simplify right side
    67,537.38x = 21,599,225,605.56
  5. Step 5: Solve for x
    x = 21,599,225,605.56/67,537.38
  6. Step 6: Final answer
    x = 319,811.45

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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.