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Finding the Third Proportional to 62,467 and 99,350

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Solution

The third proportional to 62,467 and 99,350 is: 158,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,467 : 99,350 = 99,350 : x
  2. Step 2: Convert to fraction form
    62,467/99,350 = 99,350/x
  3. Step 3: Cross multiply
    62,467x = 99,350 × 99,350
  4. Step 4: Simplify right side
    62,467x = 9,870,422,500
  5. Step 5: Solve for x
    x = 9,870,422,500/62,467
  6. Step 6: Final answer
    x = 158,010.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.