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Finding the Third Proportional to 67,969.13 and 144,681.19

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Solution

The third proportional to 67,969.13 and 144,681.19 is: 307,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969.13 : 144,681.19 = 144,681.19 : x
  2. Step 2: Convert to fraction form
    67,969.13/144,681.19 = 144,681.19/x
  3. Step 3: Cross multiply
    67,969.13x = 144,681.19 × 144,681.19
  4. Step 4: Simplify right side
    67,969.13x = 20,932,646,016.41
  5. Step 5: Solve for x
    x = 20,932,646,016.41/67,969.13
  6. Step 6: Final answer
    x = 307,972.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.