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Finding the Third Proportional to 71,165 and 153,326

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Solution

The third proportional to 71,165 and 153,326 is: 330,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,165 : 153,326 = 153,326 : x
  2. Step 2: Convert to fraction form
    71,165/153,326 = 153,326/x
  3. Step 3: Cross multiply
    71,165x = 153,326 × 153,326
  4. Step 4: Simplify right side
    71,165x = 23,508,862,276
  5. Step 5: Solve for x
    x = 23,508,862,276/71,165
  6. Step 6: Final answer
    x = 330,343.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.