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Finding the Third Proportional to 71,239 and 152,014

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Solution

The third proportional to 71,239 and 152,014 is: 324,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,239 : 152,014 = 152,014 : x
  2. Step 2: Convert to fraction form
    71,239/152,014 = 152,014/x
  3. Step 3: Cross multiply
    71,239x = 152,014 × 152,014
  4. Step 4: Simplify right side
    71,239x = 23,108,256,196
  5. Step 5: Solve for x
    x = 23,108,256,196/71,239
  6. Step 6: Final answer
    x = 324,376.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.