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Finding the Third Proportional to 50,473 and 73,360

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Solution

The third proportional to 50,473 and 73,360 is: 106,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,473 : 73,360 = 73,360 : x
  2. Step 2: Convert to fraction form
    50,473/73,360 = 73,360/x
  3. Step 3: Cross multiply
    50,473x = 73,360 × 73,360
  4. Step 4: Simplify right side
    50,473x = 5,381,689,600
  5. Step 5: Solve for x
    x = 5,381,689,600/50,473
  6. Step 6: Final answer
    x = 106,625.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.