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Finding the Third Proportional to 74,063 and 162,949

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Solution

The third proportional to 74,063 and 162,949 is: 358,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,063 : 162,949 = 162,949 : x
  2. Step 2: Convert to fraction form
    74,063/162,949 = 162,949/x
  3. Step 3: Cross multiply
    74,063x = 162,949 × 162,949
  4. Step 4: Simplify right side
    74,063x = 26,552,376,601
  5. Step 5: Solve for x
    x = 26,552,376,601/74,063
  6. Step 6: Final answer
    x = 358,510.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.