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Finding the Third Proportional to 73,888 and 156,983

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Solution

The third proportional to 73,888 and 156,983 is: 333,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,888 : 156,983 = 156,983 : x
  2. Step 2: Convert to fraction form
    73,888/156,983 = 156,983/x
  3. Step 3: Cross multiply
    73,888x = 156,983 × 156,983
  4. Step 4: Simplify right side
    73,888x = 24,643,662,289
  5. Step 5: Solve for x
    x = 24,643,662,289/73,888
  6. Step 6: Final answer
    x = 333,527.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.