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Finding the Third Proportional to 119,981.25 and 180,883.13

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Solution

The third proportional to 119,981.25 and 180,883.13 is: 272,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,981.25 : 180,883.13 = 180,883.13 : x
  2. Step 2: Convert to fraction form
    119,981.25/180,883.13 = 180,883.13/x
  3. Step 3: Cross multiply
    119,981.25x = 180,883.13 × 180,883.13
  4. Step 4: Simplify right side
    119,981.25x = 32,718,704,909.77
  5. Step 5: Solve for x
    x = 32,718,704,909.77/119,981.25
  6. Step 6: Final answer
    x = 272,698.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.