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Finding the Third Proportional to 48,049 and 74,240

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Solution

The third proportional to 48,049 and 74,240 is: 114,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,049 : 74,240 = 74,240 : x
  2. Step 2: Convert to fraction form
    48,049/74,240 = 74,240/x
  3. Step 3: Cross multiply
    48,049x = 74,240 × 74,240
  4. Step 4: Simplify right side
    48,049x = 5,511,577,600
  5. Step 5: Solve for x
    x = 5,511,577,600/48,049
  6. Step 6: Final answer
    x = 114,707.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.