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Finding the Third Proportional to 48,129 and 74,073

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Solution

The third proportional to 48,129 and 74,073 is: 114,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,129 : 74,073 = 74,073 : x
  2. Step 2: Convert to fraction form
    48,129/74,073 = 74,073/x
  3. Step 3: Cross multiply
    48,129x = 74,073 × 74,073
  4. Step 4: Simplify right side
    48,129x = 5,486,809,329
  5. Step 5: Solve for x
    x = 5,486,809,329/48,129
  6. Step 6: Final answer
    x = 114,002.15

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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.