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Finding the Third Proportional to 67,284 and 99,623.25

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Solution

The third proportional to 67,284 and 99,623.25 is: 147,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,284 : 99,623.25 = 99,623.25 : x
  2. Step 2: Convert to fraction form
    67,284/99,623.25 = 99,623.25/x
  3. Step 3: Cross multiply
    67,284x = 99,623.25 × 99,623.25
  4. Step 4: Simplify right side
    67,284x = 9,924,791,940.56
  5. Step 5: Solve for x
    x = 9,924,791,940.56/67,284
  6. Step 6: Final answer
    x = 147,505.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.