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Finding the Third Proportional to 60,812 and 85,576

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Solution

The third proportional to 60,812 and 85,576 is: 120,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,812 : 85,576 = 85,576 : x
  2. Step 2: Convert to fraction form
    60,812/85,576 = 85,576/x
  3. Step 3: Cross multiply
    60,812x = 85,576 × 85,576
  4. Step 4: Simplify right side
    60,812x = 7,323,251,776
  5. Step 5: Solve for x
    x = 7,323,251,776/60,812
  6. Step 6: Final answer
    x = 120,424.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.