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Finding the Third Proportional to 71,085 and 153,252

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Solution

The third proportional to 71,085 and 153,252 is: 330,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,085 : 153,252 = 153,252 : x
  2. Step 2: Convert to fraction form
    71,085/153,252 = 153,252/x
  3. Step 3: Cross multiply
    71,085x = 153,252 × 153,252
  4. Step 4: Simplify right side
    71,085x = 23,486,175,504
  5. Step 5: Solve for x
    x = 23,486,175,504/71,085
  6. Step 6: Final answer
    x = 330,395.66

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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.