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Finding the Third Proportional to 142,774 and 187,793

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Solution

The third proportional to 142,774 and 187,793 is: 247,007.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,774 : 187,793 = 187,793 : x
  2. Step 2: Convert to fraction form
    142,774/187,793 = 187,793/x
  3. Step 3: Cross multiply
    142,774x = 187,793 × 187,793
  4. Step 4: Simplify right side
    142,774x = 35,266,210,849
  5. Step 5: Solve for x
    x = 35,266,210,849/142,774
  6. Step 6: Final answer
    x = 247,007.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.