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Finding the Third Proportional to 112,062 and 234,510

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Solution

The third proportional to 112,062 and 234,510 is: 490,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,062 : 234,510 = 234,510 : x
  2. Step 2: Convert to fraction form
    112,062/234,510 = 234,510/x
  3. Step 3: Cross multiply
    112,062x = 234,510 × 234,510
  4. Step 4: Simplify right side
    112,062x = 54,994,940,100
  5. Step 5: Solve for x
    x = 54,994,940,100/112,062
  6. Step 6: Final answer
    x = 490,754.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.