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Finding the Third Proportional to 121,373 and 189,998

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Solution

The third proportional to 121,373 and 189,998 is: 297,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,373 : 189,998 = 189,998 : x
  2. Step 2: Convert to fraction form
    121,373/189,998 = 189,998/x
  3. Step 3: Cross multiply
    121,373x = 189,998 × 189,998
  4. Step 4: Simplify right side
    121,373x = 36,099,240,004
  5. Step 5: Solve for x
    x = 36,099,240,004/121,373
  6. Step 6: Final answer
    x = 297,423.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.