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Finding the Third Proportional to 48,078 and 73,938

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Solution

The third proportional to 48,078 and 73,938 is: 113,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,078 : 73,938 = 73,938 : x
  2. Step 2: Convert to fraction form
    48,078/73,938 = 73,938/x
  3. Step 3: Cross multiply
    48,078x = 73,938 × 73,938
  4. Step 4: Simplify right side
    48,078x = 5,466,827,844
  5. Step 5: Solve for x
    x = 5,466,827,844/48,078
  6. Step 6: Final answer
    x = 113,707.47

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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.