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Finding the Third Proportional to 117,972 and 259,272

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Solution

The third proportional to 117,972 and 259,272 is: 569,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,972 : 259,272 = 259,272 : x
  2. Step 2: Convert to fraction form
    117,972/259,272 = 259,272/x
  3. Step 3: Cross multiply
    117,972x = 259,272 × 259,272
  4. Step 4: Simplify right side
    117,972x = 67,221,969,984
  5. Step 5: Solve for x
    x = 67,221,969,984/117,972
  6. Step 6: Final answer
    x = 569,812.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.