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Finding the Third Proportional to 64,122 and 85,581

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Solution

The third proportional to 64,122 and 85,581 is: 114,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,122 : 85,581 = 85,581 : x
  2. Step 2: Convert to fraction form
    64,122/85,581 = 85,581/x
  3. Step 3: Cross multiply
    64,122x = 85,581 × 85,581
  4. Step 4: Simplify right side
    64,122x = 7,324,107,561
  5. Step 5: Solve for x
    x = 7,324,107,561/64,122
  6. Step 6: Final answer
    x = 114,221.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.