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Finding the Third Proportional to 67,199.50 and 141,293

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Solution

The third proportional to 67,199.50 and 141,293 is: 297,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,199.50 : 141,293 = 141,293 : x
  2. Step 2: Convert to fraction form
    67,199.50/141,293 = 141,293/x
  3. Step 3: Cross multiply
    67,199.50x = 141,293 × 141,293
  4. Step 4: Simplify right side
    67,199.50x = 19,963,711,849
  5. Step 5: Solve for x
    x = 19,963,711,849/67,199.50
  6. Step 6: Final answer
    x = 297,081.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.