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Finding the Third Proportional to 73,492.31 and 161,002.69

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Solution

The third proportional to 73,492.31 and 161,002.69 is: 352,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,492.31 : 161,002.69 = 161,002.69 : x
  2. Step 2: Convert to fraction form
    73,492.31/161,002.69 = 161,002.69/x
  3. Step 3: Cross multiply
    73,492.31x = 161,002.69 × 161,002.69
  4. Step 4: Simplify right side
    73,492.31x = 25,921,865,382.22
  5. Step 5: Solve for x
    x = 25,921,865,382.22/73,492.31
  6. Step 6: Final answer
    x = 352,715.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.