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Finding the Third Proportional to 121,346 and 189,942

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Solution

The third proportional to 121,346 and 189,942 is: 297,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,346 : 189,942 = 189,942 : x
  2. Step 2: Convert to fraction form
    121,346/189,942 = 189,942/x
  3. Step 3: Cross multiply
    121,346x = 189,942 × 189,942
  4. Step 4: Simplify right side
    121,346x = 36,077,963,364
  5. Step 5: Solve for x
    x = 36,077,963,364/121,346
  6. Step 6: Final answer
    x = 297,314.81

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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.