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Finding the Third Proportional to 60,320 and 131,816

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Solution

The third proportional to 60,320 and 131,816 is: 288,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,320 : 131,816 = 131,816 : x
  2. Step 2: Convert to fraction form
    60,320/131,816 = 131,816/x
  3. Step 3: Cross multiply
    60,320x = 131,816 × 131,816
  4. Step 4: Simplify right side
    60,320x = 17,375,457,856
  5. Step 5: Solve for x
    x = 17,375,457,856/60,320
  6. Step 6: Final answer
    x = 288,054.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.