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Finding the Third Proportional to 48,420 and 73,354

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Solution

The third proportional to 48,420 and 73,354 is: 111,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,420 : 73,354 = 73,354 : x
  2. Step 2: Convert to fraction form
    48,420/73,354 = 73,354/x
  3. Step 3: Cross multiply
    48,420x = 73,354 × 73,354
  4. Step 4: Simplify right side
    48,420x = 5,380,809,316
  5. Step 5: Solve for x
    x = 5,380,809,316/48,420
  6. Step 6: Final answer
    x = 111,127.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.