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Finding the Third Proportional to 48,960 and 73,254

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Solution

The third proportional to 48,960 and 73,254 is: 109,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,960 : 73,254 = 73,254 : x
  2. Step 2: Convert to fraction form
    48,960/73,254 = 73,254/x
  3. Step 3: Cross multiply
    48,960x = 73,254 × 73,254
  4. Step 4: Simplify right side
    48,960x = 5,366,148,516
  5. Step 5: Solve for x
    x = 5,366,148,516/48,960
  6. Step 6: Final answer
    x = 109,602.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.