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Finding the Third Proportional to 67,672.13 and 146,248.88

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Solution

The third proportional to 67,672.13 and 146,248.88 is: 316,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,672.13 : 146,248.88 = 146,248.88 : x
  2. Step 2: Convert to fraction form
    67,672.13/146,248.88 = 146,248.88/x
  3. Step 3: Cross multiply
    67,672.13x = 146,248.88 × 146,248.88
  4. Step 4: Simplify right side
    67,672.13x = 21,388,733,438.77
  5. Step 5: Solve for x
    x = 21,388,733,438.77/67,672.13
  6. Step 6: Final answer
    x = 316,064.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.