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Finding the Third Proportional to 48,670 and 75,155

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Solution

The third proportional to 48,670 and 75,155 is: 116,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,670 : 75,155 = 75,155 : x
  2. Step 2: Convert to fraction form
    48,670/75,155 = 75,155/x
  3. Step 3: Cross multiply
    48,670x = 75,155 × 75,155
  4. Step 4: Simplify right side
    48,670x = 5,648,274,025
  5. Step 5: Solve for x
    x = 5,648,274,025/48,670
  6. Step 6: Final answer
    x = 116,052.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.