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Finding the Third Proportional to 89.46 and 124.35

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Solution

The third proportional to 89.46 and 124.35 is: 172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.46 : 124.35 = 124.35 : x
  2. Step 2: Convert to fraction form
    89.46/124.35 = 124.35/x
  3. Step 3: Cross multiply
    89.46x = 124.35 × 124.35
  4. Step 4: Simplify right side
    89.46x = 15,462.34
  5. Step 5: Solve for x
    x = 15,462.34/89.46
  6. Step 6: Final answer
    x = 172.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.