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Finding the Third Proportional to 71,169 and 153,334

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Solution

The third proportional to 71,169 and 153,334 is: 330,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,169 : 153,334 = 153,334 : x
  2. Step 2: Convert to fraction form
    71,169/153,334 = 153,334/x
  3. Step 3: Cross multiply
    71,169x = 153,334 × 153,334
  4. Step 4: Simplify right side
    71,169x = 23,511,315,556
  5. Step 5: Solve for x
    x = 23,511,315,556/71,169
  6. Step 6: Final answer
    x = 330,358.94

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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.