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Finding the Third Proportional to 112,287 and 164,078

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Solution

The third proportional to 112,287 and 164,078 is: 239,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,287 : 164,078 = 164,078 : x
  2. Step 2: Convert to fraction form
    112,287/164,078 = 164,078/x
  3. Step 3: Cross multiply
    112,287x = 164,078 × 164,078
  4. Step 4: Simplify right side
    112,287x = 26,921,590,084
  5. Step 5: Solve for x
    x = 26,921,590,084/112,287
  6. Step 6: Final answer
    x = 239,756.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.