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Finding the Third Proportional to 70.88 and 172.13

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Solution

The third proportional to 70.88 and 172.13 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.88 : 172.13 = 172.13 : x
  2. Step 2: Convert to fraction form
    70.88/172.13 = 172.13/x
  3. Step 3: Cross multiply
    70.88x = 172.13 × 172.13
  4. Step 4: Simplify right side
    70.88x = 29,627.02
  5. Step 5: Solve for x
    x = 29,627.02/70.88
  6. Step 6: Final answer
    x = 418.02

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.