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Finding the Third Proportional to 114,002 and 247,475

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Solution

The third proportional to 114,002 and 247,475 is: 537,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,002 : 247,475 = 247,475 : x
  2. Step 2: Convert to fraction form
    114,002/247,475 = 247,475/x
  3. Step 3: Cross multiply
    114,002x = 247,475 × 247,475
  4. Step 4: Simplify right side
    114,002x = 61,243,875,625
  5. Step 5: Solve for x
    x = 61,243,875,625/114,002
  6. Step 6: Final answer
    x = 537,217.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.