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Finding the Third Proportional to 97,713 and 146,802

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Solution

The third proportional to 97,713 and 146,802 is: 220,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,713 : 146,802 = 146,802 : x
  2. Step 2: Convert to fraction form
    97,713/146,802 = 146,802/x
  3. Step 3: Cross multiply
    97,713x = 146,802 × 146,802
  4. Step 4: Simplify right side
    97,713x = 21,550,827,204
  5. Step 5: Solve for x
    x = 21,550,827,204/97,713
  6. Step 6: Final answer
    x = 220,552.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.