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Finding the Third Proportional to 60,724 and 131,816

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Solution

The third proportional to 60,724 and 131,816 is: 286,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,724 : 131,816 = 131,816 : x
  2. Step 2: Convert to fraction form
    60,724/131,816 = 131,816/x
  3. Step 3: Cross multiply
    60,724x = 131,816 × 131,816
  4. Step 4: Simplify right side
    60,724x = 17,375,457,856
  5. Step 5: Solve for x
    x = 17,375,457,856/60,724
  6. Step 6: Final answer
    x = 286,138.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.