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Finding the Third Proportional to 68,146 and 103,449

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Solution

The third proportional to 68,146 and 103,449 is: 157,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,146 : 103,449 = 103,449 : x
  2. Step 2: Convert to fraction form
    68,146/103,449 = 103,449/x
  3. Step 3: Cross multiply
    68,146x = 103,449 × 103,449
  4. Step 4: Simplify right side
    68,146x = 10,701,695,601
  5. Step 5: Solve for x
    x = 10,701,695,601/68,146
  6. Step 6: Final answer
    x = 157,040.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.