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Finding the Third Proportional to 66,555 and 146,499

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Solution

The third proportional to 66,555 and 146,499 is: 322,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,555 : 146,499 = 146,499 : x
  2. Step 2: Convert to fraction form
    66,555/146,499 = 146,499/x
  3. Step 3: Cross multiply
    66,555x = 146,499 × 146,499
  4. Step 4: Simplify right side
    66,555x = 21,461,957,001
  5. Step 5: Solve for x
    x = 21,461,957,001/66,555
  6. Step 6: Final answer
    x = 322,469.49

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