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Finding the Third Proportional to 58.50 and 112

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Solution

The third proportional to 58.50 and 112 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.50 : 112 = 112 : x
  2. Step 2: Convert to fraction form
    58.50/112 = 112/x
  3. Step 3: Cross multiply
    58.50x = 112 × 112
  4. Step 4: Simplify right side
    58.50x = 12,544
  5. Step 5: Solve for x
    x = 12,544/58.50
  6. Step 6: Final answer
    x = 214.43

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.