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Finding the Third Proportional to 60,724 and 84,916

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Solution

The third proportional to 60,724 and 84,916 is: 118,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,724 : 84,916 = 84,916 : x
  2. Step 2: Convert to fraction form
    60,724/84,916 = 84,916/x
  3. Step 3: Cross multiply
    60,724x = 84,916 × 84,916
  4. Step 4: Simplify right side
    60,724x = 7,210,727,056
  5. Step 5: Solve for x
    x = 7,210,727,056/60,724
  6. Step 6: Final answer
    x = 118,745.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.