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Finding the Third Proportional to 48,119 and 69,314

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Solution

The third proportional to 48,119 and 69,314 is: 99,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,119 : 69,314 = 69,314 : x
  2. Step 2: Convert to fraction form
    48,119/69,314 = 69,314/x
  3. Step 3: Cross multiply
    48,119x = 69,314 × 69,314
  4. Step 4: Simplify right side
    48,119x = 4,804,430,596
  5. Step 5: Solve for x
    x = 4,804,430,596/48,119
  6. Step 6: Final answer
    x = 99,844.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.