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Finding the Third Proportional to 119,461.50 and 180,721.13

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Solution

The third proportional to 119,461.50 and 180,721.13 is: 273,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,461.50 : 180,721.13 = 180,721.13 : x
  2. Step 2: Convert to fraction form
    119,461.50/180,721.13 = 180,721.13/x
  3. Step 3: Cross multiply
    119,461.50x = 180,721.13 × 180,721.13
  4. Step 4: Simplify right side
    119,461.50x = 32,660,125,021.27
  5. Step 5: Solve for x
    x = 32,660,125,021.27/119,461.50
  6. Step 6: Final answer
    x = 273,394.57

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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.