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Finding the Third Proportional to 45,690 and 71,613

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Solution

The third proportional to 45,690 and 71,613 is: 112,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,690 : 71,613 = 71,613 : x
  2. Step 2: Convert to fraction form
    45,690/71,613 = 71,613/x
  3. Step 3: Cross multiply
    45,690x = 71,613 × 71,613
  4. Step 4: Simplify right side
    45,690x = 5,128,421,769
  5. Step 5: Solve for x
    x = 5,128,421,769/45,690
  6. Step 6: Final answer
    x = 112,243.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.