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Finding the Third Proportional to 72,986 and 159,604

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Solution

The third proportional to 72,986 and 159,604 is: 349,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986 : 159,604 = 159,604 : x
  2. Step 2: Convert to fraction form
    72,986/159,604 = 159,604/x
  3. Step 3: Cross multiply
    72,986x = 159,604 × 159,604
  4. Step 4: Simplify right side
    72,986x = 25,473,436,816
  5. Step 5: Solve for x
    x = 25,473,436,816/72,986
  6. Step 6: Final answer
    x = 349,018.12

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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.