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Finding the Third Proportional to 73,672 and 160,838

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Solution

The third proportional to 73,672 and 160,838 is: 351,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672 : 160,838 = 160,838 : x
  2. Step 2: Convert to fraction form
    73,672/160,838 = 160,838/x
  3. Step 3: Cross multiply
    73,672x = 160,838 × 160,838
  4. Step 4: Simplify right side
    73,672x = 25,868,862,244
  5. Step 5: Solve for x
    x = 25,868,862,244/73,672
  6. Step 6: Final answer
    x = 351,135.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.