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Finding the Third Proportional to 67,062 and 144,663

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Solution

The third proportional to 67,062 and 144,663 is: 312,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,062 : 144,663 = 144,663 : x
  2. Step 2: Convert to fraction form
    67,062/144,663 = 144,663/x
  3. Step 3: Cross multiply
    67,062x = 144,663 × 144,663
  4. Step 4: Simplify right side
    67,062x = 20,927,383,569
  5. Step 5: Solve for x
    x = 20,927,383,569/67,062
  6. Step 6: Final answer
    x = 312,060.24

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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.