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Finding the Third Proportional to 68,687 and 144,754

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Solution

The third proportional to 68,687 and 144,754 is: 305,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,687 : 144,754 = 144,754 : x
  2. Step 2: Convert to fraction form
    68,687/144,754 = 144,754/x
  3. Step 3: Cross multiply
    68,687x = 144,754 × 144,754
  4. Step 4: Simplify right side
    68,687x = 20,953,720,516
  5. Step 5: Solve for x
    x = 20,953,720,516/68,687
  6. Step 6: Final answer
    x = 305,060.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.