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Finding the Third Proportional to 125,655 and 189,642

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Solution

The third proportional to 125,655 and 189,642 is: 286,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,655 : 189,642 = 189,642 : x
  2. Step 2: Convert to fraction form
    125,655/189,642 = 189,642/x
  3. Step 3: Cross multiply
    125,655x = 189,642 × 189,642
  4. Step 4: Simplify right side
    125,655x = 35,964,088,164
  5. Step 5: Solve for x
    x = 35,964,088,164/125,655
  6. Step 6: Final answer
    x = 286,212.95

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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.