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Finding the Third Proportional to 67,934 and 148,976.50

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Solution

The third proportional to 67,934 and 148,976.50 is: 326,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,934 : 148,976.50 = 148,976.50 : x
  2. Step 2: Convert to fraction form
    67,934/148,976.50 = 148,976.50/x
  3. Step 3: Cross multiply
    67,934x = 148,976.50 × 148,976.50
  4. Step 4: Simplify right side
    67,934x = 22,193,997,552.25
  5. Step 5: Solve for x
    x = 22,193,997,552.25/67,934
  6. Step 6: Final answer
    x = 326,699.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.