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Finding the Third Proportional to 72,644 and 111,078

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Solution

The third proportional to 72,644 and 111,078 is: 169,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,644 : 111,078 = 111,078 : x
  2. Step 2: Convert to fraction form
    72,644/111,078 = 111,078/x
  3. Step 3: Cross multiply
    72,644x = 111,078 × 111,078
  4. Step 4: Simplify right side
    72,644x = 12,338,322,084
  5. Step 5: Solve for x
    x = 12,338,322,084/72,644
  6. Step 6: Final answer
    x = 169,846.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.