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Finding the Third Proportional to 110,082 and 235,716

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Solution

The third proportional to 110,082 and 235,716 is: 504,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,082 : 235,716 = 235,716 : x
  2. Step 2: Convert to fraction form
    110,082/235,716 = 235,716/x
  3. Step 3: Cross multiply
    110,082x = 235,716 × 235,716
  4. Step 4: Simplify right side
    110,082x = 55,562,032,656
  5. Step 5: Solve for x
    x = 55,562,032,656/110,082
  6. Step 6: Final answer
    x = 504,733.13

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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.