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Finding the Third Proportional to 124.35 and 170.70

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Solution

The third proportional to 124.35 and 170.70 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.35 : 170.70 = 170.70 : x
  2. Step 2: Convert to fraction form
    124.35/170.70 = 170.70/x
  3. Step 3: Cross multiply
    124.35x = 170.70 × 170.70
  4. Step 4: Simplify right side
    124.35x = 29,138.89
  5. Step 5: Solve for x
    x = 29,138.89/124.35
  6. Step 6: Final answer
    x = 234.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.