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Finding the Third Proportional to 108.84 and 152.58

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Solution

The third proportional to 108.84 and 152.58 is: 213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.84 : 152.58 = 152.58 : x
  2. Step 2: Convert to fraction form
    108.84/152.58 = 152.58/x
  3. Step 3: Cross multiply
    108.84x = 152.58 × 152.58
  4. Step 4: Simplify right side
    108.84x = 23,280.08
  5. Step 5: Solve for x
    x = 23,280.08/108.84
  6. Step 6: Final answer
    x = 213.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.