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Finding the Third Proportional to 58.92 and 89.74

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Solution

The third proportional to 58.92 and 89.74 is: 136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.92 : 89.74 = 89.74 : x
  2. Step 2: Convert to fraction form
    58.92/89.74 = 89.74/x
  3. Step 3: Cross multiply
    58.92x = 89.74 × 89.74
  4. Step 4: Simplify right side
    58.92x = 8,053.66
  5. Step 5: Solve for x
    x = 8,053.66/58.92
  6. Step 6: Final answer
    x = 136.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.