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Finding the Third Proportional to 119,047.50 and 161,679.38

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Solution

The third proportional to 119,047.50 and 161,679.38 is: 219,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,047.50 : 161,679.38 = 161,679.38 : x
  2. Step 2: Convert to fraction form
    119,047.50/161,679.38 = 161,679.38/x
  3. Step 3: Cross multiply
    119,047.50x = 161,679.38 × 161,679.38
  4. Step 4: Simplify right side
    119,047.50x = 26,140,220,300.39
  5. Step 5: Solve for x
    x = 26,140,220,300.39/119,047.50
  6. Step 6: Final answer
    x = 219,578.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.