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Finding the Third Proportional to 70.84 and 148.17

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Solution

The third proportional to 70.84 and 148.17 is: 309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 148.17 = 148.17 : x
  2. Step 2: Convert to fraction form
    70.84/148.17 = 148.17/x
  3. Step 3: Cross multiply
    70.84x = 148.17 × 148.17
  4. Step 4: Simplify right side
    70.84x = 21,953.49
  5. Step 5: Solve for x
    x = 21,953.49/70.84
  6. Step 6: Final answer
    x = 309.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.