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Finding the Third Proportional to 68.48 and 147.77

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Solution

The third proportional to 68.48 and 147.77 is: 318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.48 : 147.77 = 147.77 : x
  2. Step 2: Convert to fraction form
    68.48/147.77 = 147.77/x
  3. Step 3: Cross multiply
    68.48x = 147.77 × 147.77
  4. Step 4: Simplify right side
    68.48x = 21,834.99
  5. Step 5: Solve for x
    x = 21,834.99/68.48
  6. Step 6: Final answer
    x = 318.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.