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Finding the Third Proportional to 72,796 and 160,226

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Solution

The third proportional to 72,796 and 160,226 is: 352,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796 : 160,226 = 160,226 : x
  2. Step 2: Convert to fraction form
    72,796/160,226 = 160,226/x
  3. Step 3: Cross multiply
    72,796x = 160,226 × 160,226
  4. Step 4: Simplify right side
    72,796x = 25,672,371,076
  5. Step 5: Solve for x
    x = 25,672,371,076/72,796
  6. Step 6: Final answer
    x = 352,661.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.