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Finding the Third Proportional to 48,933 and 93,977

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Solution

The third proportional to 48,933 and 93,977 is: 180,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,933 : 93,977 = 93,977 : x
  2. Step 2: Convert to fraction form
    48,933/93,977 = 93,977/x
  3. Step 3: Cross multiply
    48,933x = 93,977 × 93,977
  4. Step 4: Simplify right side
    48,933x = 8,831,676,529
  5. Step 5: Solve for x
    x = 8,831,676,529/48,933
  6. Step 6: Final answer
    x = 180,485.08

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.