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Finding the Third Proportional to 125,350 and 189,087

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Solution

The third proportional to 125,350 and 189,087 is: 285,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,350 : 189,087 = 189,087 : x
  2. Step 2: Convert to fraction form
    125,350/189,087 = 189,087/x
  3. Step 3: Cross multiply
    125,350x = 189,087 × 189,087
  4. Step 4: Simplify right side
    125,350x = 35,753,893,569
  5. Step 5: Solve for x
    x = 35,753,893,569/125,350
  6. Step 6: Final answer
    x = 285,232.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.