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Finding the Third Proportional to 120,212 and 176,916

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Solution

The third proportional to 120,212 and 176,916 is: 260,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,212 : 176,916 = 176,916 : x
  2. Step 2: Convert to fraction form
    120,212/176,916 = 176,916/x
  3. Step 3: Cross multiply
    120,212x = 176,916 × 176,916
  4. Step 4: Simplify right side
    120,212x = 31,299,271,056
  5. Step 5: Solve for x
    x = 31,299,271,056/120,212
  6. Step 6: Final answer
    x = 260,367.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.