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Finding the Third Proportional to 102.50 and 170.25

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Solution

The third proportional to 102.50 and 170.25 is: 282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.50 : 170.25 = 170.25 : x
  2. Step 2: Convert to fraction form
    102.50/170.25 = 170.25/x
  3. Step 3: Cross multiply
    102.50x = 170.25 × 170.25
  4. Step 4: Simplify right side
    102.50x = 28,985.06
  5. Step 5: Solve for x
    x = 28,985.06/102.50
  6. Step 6: Final answer
    x = 282.78

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.