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Finding the Third Proportional to 127,449 and 191,222

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Solution

The third proportional to 127,449 and 191,222 is: 286,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,449 : 191,222 = 191,222 : x
  2. Step 2: Convert to fraction form
    127,449/191,222 = 191,222/x
  3. Step 3: Cross multiply
    127,449x = 191,222 × 191,222
  4. Step 4: Simplify right side
    127,449x = 36,565,853,284
  5. Step 5: Solve for x
    x = 36,565,853,284/127,449
  6. Step 6: Final answer
    x = 286,905.77

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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.