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Finding the Third Proportional to 114,759 and 247,135

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Solution

The third proportional to 114,759 and 247,135 is: 532,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,759 : 247,135 = 247,135 : x
  2. Step 2: Convert to fraction form
    114,759/247,135 = 247,135/x
  3. Step 3: Cross multiply
    114,759x = 247,135 × 247,135
  4. Step 4: Simplify right side
    114,759x = 61,075,708,225
  5. Step 5: Solve for x
    x = 61,075,708,225/114,759
  6. Step 6: Final answer
    x = 532,208.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.