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Finding the Third Proportional to 117.70 and 158.77

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Solution

The third proportional to 117.70 and 158.77 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 158.77 = 158.77 : x
  2. Step 2: Convert to fraction form
    117.70/158.77 = 158.77/x
  3. Step 3: Cross multiply
    117.70x = 158.77 × 158.77
  4. Step 4: Simplify right side
    117.70x = 25,206.52
  5. Step 5: Solve for x
    x = 25,206.52/117.70
  6. Step 6: Final answer
    x = 214.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.