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Finding the Third Proportional to 73,659 and 160,813

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Solution

The third proportional to 73,659 and 160,813 is: 351,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,659 : 160,813 = 160,813 : x
  2. Step 2: Convert to fraction form
    73,659/160,813 = 160,813/x
  3. Step 3: Cross multiply
    73,659x = 160,813 × 160,813
  4. Step 4: Simplify right side
    73,659x = 25,860,820,969
  5. Step 5: Solve for x
    x = 25,860,820,969/73,659
  6. Step 6: Final answer
    x = 351,088.41

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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.