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Finding the Third Proportional to 48,105 and 74,670

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Solution

The third proportional to 48,105 and 74,670 is: 115,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,105 : 74,670 = 74,670 : x
  2. Step 2: Convert to fraction form
    48,105/74,670 = 74,670/x
  3. Step 3: Cross multiply
    48,105x = 74,670 × 74,670
  4. Step 4: Simplify right side
    48,105x = 5,575,608,900
  5. Step 5: Solve for x
    x = 5,575,608,900/48,105
  6. Step 6: Final answer
    x = 115,904.98

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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.