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Finding the Third Proportional to 71,105 and 153,613

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Solution

The third proportional to 71,105 and 153,613 is: 331,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,105 : 153,613 = 153,613 : x
  2. Step 2: Convert to fraction form
    71,105/153,613 = 153,613/x
  3. Step 3: Cross multiply
    71,105x = 153,613 × 153,613
  4. Step 4: Simplify right side
    71,105x = 23,596,953,769
  5. Step 5: Solve for x
    x = 23,596,953,769/71,105
  6. Step 6: Final answer
    x = 331,860.68

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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.