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Finding the Third Proportional to 73,874 and 163,300

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Solution

The third proportional to 73,874 and 163,300 is: 360,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,874 : 163,300 = 163,300 : x
  2. Step 2: Convert to fraction form
    73,874/163,300 = 163,300/x
  3. Step 3: Cross multiply
    73,874x = 163,300 × 163,300
  4. Step 4: Simplify right side
    73,874x = 26,666,890,000
  5. Step 5: Solve for x
    x = 26,666,890,000/73,874
  6. Step 6: Final answer
    x = 360,978.02

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.