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Finding the Third Proportional to 62,467 and 98,829

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Solution

The third proportional to 62,467 and 98,829 is: 156,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,467 : 98,829 = 98,829 : x
  2. Step 2: Convert to fraction form
    62,467/98,829 = 98,829/x
  3. Step 3: Cross multiply
    62,467x = 98,829 × 98,829
  4. Step 4: Simplify right side
    62,467x = 9,767,171,241
  5. Step 5: Solve for x
    x = 9,767,171,241/62,467
  6. Step 6: Final answer
    x = 156,357.30

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.