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Finding the Third Proportional to 48,163 and 74,120

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Solution

The third proportional to 48,163 and 74,120 is: 114,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,163 : 74,120 = 74,120 : x
  2. Step 2: Convert to fraction form
    48,163/74,120 = 74,120/x
  3. Step 3: Cross multiply
    48,163x = 74,120 × 74,120
  4. Step 4: Simplify right side
    48,163x = 5,493,774,400
  5. Step 5: Solve for x
    x = 5,493,774,400/48,163
  6. Step 6: Final answer
    x = 114,066.28

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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.