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Finding the Third Proportional to 60,622.50 and 131,613

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Solution

The third proportional to 60,622.50 and 131,613 is: 285,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,622.50 : 131,613 = 131,613 : x
  2. Step 2: Convert to fraction form
    60,622.50/131,613 = 131,613/x
  3. Step 3: Cross multiply
    60,622.50x = 131,613 × 131,613
  4. Step 4: Simplify right side
    60,622.50x = 17,321,981,769
  5. Step 5: Solve for x
    x = 17,321,981,769/60,622.50
  6. Step 6: Final answer
    x = 285,735.19

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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.