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Finding the Third Proportional to 60,800 and 131,316

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Solution

The third proportional to 60,800 and 131,316 is: 283,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,800 : 131,316 = 131,316 : x
  2. Step 2: Convert to fraction form
    60,800/131,316 = 131,316/x
  3. Step 3: Cross multiply
    60,800x = 131,316 × 131,316
  4. Step 4: Simplify right side
    60,800x = 17,243,891,856
  5. Step 5: Solve for x
    x = 17,243,891,856/60,800
  6. Step 6: Final answer
    x = 283,616.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.