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Finding the Third Proportional to 72,319 and 111,962

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Solution

The third proportional to 72,319 and 111,962 is: 173,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,319 : 111,962 = 111,962 : x
  2. Step 2: Convert to fraction form
    72,319/111,962 = 111,962/x
  3. Step 3: Cross multiply
    72,319x = 111,962 × 111,962
  4. Step 4: Simplify right side
    72,319x = 12,535,489,444
  5. Step 5: Solve for x
    x = 12,535,489,444/72,319
  6. Step 6: Final answer
    x = 173,336.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.