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Finding the Third Proportional to 112,309 and 164,071

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Solution

The third proportional to 112,309 and 164,071 is: 239,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,309 : 164,071 = 164,071 : x
  2. Step 2: Convert to fraction form
    112,309/164,071 = 164,071/x
  3. Step 3: Cross multiply
    112,309x = 164,071 × 164,071
  4. Step 4: Simplify right side
    112,309x = 26,919,293,041
  5. Step 5: Solve for x
    x = 26,919,293,041/112,309
  6. Step 6: Final answer
    x = 239,689.54

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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.