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Finding the Third Proportional to 129,212 and 274,076

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Solution

The third proportional to 129,212 and 274,076 is: 581,351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,212 : 274,076 = 274,076 : x
  2. Step 2: Convert to fraction form
    129,212/274,076 = 274,076/x
  3. Step 3: Cross multiply
    129,212x = 274,076 × 274,076
  4. Step 4: Simplify right side
    129,212x = 75,117,653,776
  5. Step 5: Solve for x
    x = 75,117,653,776/129,212
  6. Step 6: Final answer
    x = 581,351.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.