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Finding the Third Proportional to 113,212 and 179,120

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Solution

The third proportional to 113,212 and 179,120 is: 283,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,212 : 179,120 = 179,120 : x
  2. Step 2: Convert to fraction form
    113,212/179,120 = 179,120/x
  3. Step 3: Cross multiply
    113,212x = 179,120 × 179,120
  4. Step 4: Simplify right side
    113,212x = 32,083,974,400
  5. Step 5: Solve for x
    x = 32,083,974,400/113,212
  6. Step 6: Final answer
    x = 283,397.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.