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Finding the Third Proportional to 30,344 and 62,146

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Solution

The third proportional to 30,344 and 62,146 is: 127,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344 : 62,146 = 62,146 : x
  2. Step 2: Convert to fraction form
    30,344/62,146 = 62,146/x
  3. Step 3: Cross multiply
    30,344x = 62,146 × 62,146
  4. Step 4: Simplify right side
    30,344x = 3,862,125,316
  5. Step 5: Solve for x
    x = 3,862,125,316/30,344
  6. Step 6: Final answer
    x = 127,278.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.