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Finding the Third Proportional to 127,836 and 191,025

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Solution

The third proportional to 127,836 and 191,025 is: 285,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,836 : 191,025 = 191,025 : x
  2. Step 2: Convert to fraction form
    127,836/191,025 = 191,025/x
  3. Step 3: Cross multiply
    127,836x = 191,025 × 191,025
  4. Step 4: Simplify right side
    127,836x = 36,490,550,625
  5. Step 5: Solve for x
    x = 36,490,550,625/127,836
  6. Step 6: Final answer
    x = 285,448.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.