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Finding the Third Proportional to 60.94 and 90.47

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Solution

The third proportional to 60.94 and 90.47 is: 134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.94 : 90.47 = 90.47 : x
  2. Step 2: Convert to fraction form
    60.94/90.47 = 90.47/x
  3. Step 3: Cross multiply
    60.94x = 90.47 × 90.47
  4. Step 4: Simplify right side
    60.94x = 8,184.59
  5. Step 5: Solve for x
    x = 8,184.59/60.94
  6. Step 6: Final answer
    x = 134.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.