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Finding the Third Proportional to 119,726.75 and 180,092.94

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Solution

The third proportional to 119,726.75 and 180,092.94 is: 270,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,726.75 : 180,092.94 = 180,092.94 : x
  2. Step 2: Convert to fraction form
    119,726.75/180,092.94 = 180,092.94/x
  3. Step 3: Cross multiply
    119,726.75x = 180,092.94 × 180,092.94
  4. Step 4: Simplify right side
    119,726.75x = 32,433,466,137.38
  5. Step 5: Solve for x
    x = 32,433,466,137.38/119,726.75
  6. Step 6: Final answer
    x = 270,895.74

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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.