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Finding the Third Proportional to 112,289 and 164,052

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Solution

The third proportional to 112,289 and 164,052 is: 239,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,289 : 164,052 = 164,052 : x
  2. Step 2: Convert to fraction form
    112,289/164,052 = 164,052/x
  3. Step 3: Cross multiply
    112,289x = 164,052 × 164,052
  4. Step 4: Simplify right side
    112,289x = 26,913,058,704
  5. Step 5: Solve for x
    x = 26,913,058,704/112,289
  6. Step 6: Final answer
    x = 239,676.72

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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.