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Finding the Third Proportional to 114,754 and 189,639

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Solution

The third proportional to 114,754 and 189,639 is: 313,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,754 : 189,639 = 189,639 : x
  2. Step 2: Convert to fraction form
    114,754/189,639 = 189,639/x
  3. Step 3: Cross multiply
    114,754x = 189,639 × 189,639
  4. Step 4: Simplify right side
    114,754x = 35,962,950,321
  5. Step 5: Solve for x
    x = 35,962,950,321/114,754
  6. Step 6: Final answer
    x = 313,391.69

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.