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Finding the Third Proportional to 127,974 and 191,985

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Solution

The third proportional to 127,974 and 191,985 is: 288,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,974 : 191,985 = 191,985 : x
  2. Step 2: Convert to fraction form
    127,974/191,985 = 191,985/x
  3. Step 3: Cross multiply
    127,974x = 191,985 × 191,985
  4. Step 4: Simplify right side
    127,974x = 36,858,240,225
  5. Step 5: Solve for x
    x = 36,858,240,225/127,974
  6. Step 6: Final answer
    x = 288,013.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.