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Finding the Third Proportional to 110,079 and 235,710

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Solution

The third proportional to 110,079 and 235,710 is: 504,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,079 : 235,710 = 235,710 : x
  2. Step 2: Convert to fraction form
    110,079/235,710 = 235,710/x
  3. Step 3: Cross multiply
    110,079x = 235,710 × 235,710
  4. Step 4: Simplify right side
    110,079x = 55,559,204,100
  5. Step 5: Solve for x
    x = 55,559,204,100/110,079
  6. Step 6: Final answer
    x = 504,721.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.