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Finding the Third Proportional to 124.35 and 185.10

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Solution

The third proportional to 124.35 and 185.10 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.35 : 185.10 = 185.10 : x
  2. Step 2: Convert to fraction form
    124.35/185.10 = 185.10/x
  3. Step 3: Cross multiply
    124.35x = 185.10 × 185.10
  4. Step 4: Simplify right side
    124.35x = 34,261.14
  5. Step 5: Solve for x
    x = 34,261.14/124.35
  6. Step 6: Final answer
    x = 275.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.