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Finding the Third Proportional to 73,912 and 114,037

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Solution

The third proportional to 73,912 and 114,037 is: 175,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912 : 114,037 = 114,037 : x
  2. Step 2: Convert to fraction form
    73,912/114,037 = 114,037/x
  3. Step 3: Cross multiply
    73,912x = 114,037 × 114,037
  4. Step 4: Simplify right side
    73,912x = 13,004,437,369
  5. Step 5: Solve for x
    x = 13,004,437,369/73,912
  6. Step 6: Final answer
    x = 175,944.87

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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.