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Finding the Third Proportional to 64,892 and 98,556

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Solution

The third proportional to 64,892 and 98,556 is: 149,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,892 : 98,556 = 98,556 : x
  2. Step 2: Convert to fraction form
    64,892/98,556 = 98,556/x
  3. Step 3: Cross multiply
    64,892x = 98,556 × 98,556
  4. Step 4: Simplify right side
    64,892x = 9,713,285,136
  5. Step 5: Solve for x
    x = 9,713,285,136/64,892
  6. Step 6: Final answer
    x = 149,683.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.