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Finding the Third Proportional to 72,967.92 and 160,301.95

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Solution

The third proportional to 72,967.92 and 160,301.95 is: 352,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,967.92 : 160,301.95 = 160,301.95 : x
  2. Step 2: Convert to fraction form
    72,967.92/160,301.95 = 160,301.95/x
  3. Step 3: Cross multiply
    72,967.92x = 160,301.95 × 160,301.95
  4. Step 4: Simplify right side
    72,967.92x = 25,696,716,175.69
  5. Step 5: Solve for x
    x = 25,696,716,175.69/72,967.92
  6. Step 6: Final answer
    x = 352,164.56

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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.