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Finding the Third Proportional to 144,506 and 191,793

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Solution

The third proportional to 144,506 and 191,793 is: 254,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,506 : 191,793 = 191,793 : x
  2. Step 2: Convert to fraction form
    144,506/191,793 = 191,793/x
  3. Step 3: Cross multiply
    144,506x = 191,793 × 191,793
  4. Step 4: Simplify right side
    144,506x = 36,784,554,849
  5. Step 5: Solve for x
    x = 36,784,554,849/144,506
  6. Step 6: Final answer
    x = 254,553.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.