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Finding the Third Proportional to 73,088 and 160,404

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Solution

The third proportional to 73,088 and 160,404 is: 352,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,088 : 160,404 = 160,404 : x
  2. Step 2: Convert to fraction form
    73,088/160,404 = 160,404/x
  3. Step 3: Cross multiply
    73,088x = 160,404 × 160,404
  4. Step 4: Simplify right side
    73,088x = 25,729,443,216
  5. Step 5: Solve for x
    x = 25,729,443,216/73,088
  6. Step 6: Final answer
    x = 352,033.76

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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.