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Finding the Third Proportional to 67,272.19 and 141,513.75

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Solution

The third proportional to 67,272.19 and 141,513.75 is: 297,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,272.19 : 141,513.75 = 141,513.75 : x
  2. Step 2: Convert to fraction form
    67,272.19/141,513.75 = 141,513.75/x
  3. Step 3: Cross multiply
    67,272.19x = 141,513.75 × 141,513.75
  4. Step 4: Simplify right side
    67,272.19x = 20,026,141,439.06
  5. Step 5: Solve for x
    x = 20,026,141,439.06/67,272.19
  6. Step 6: Final answer
    x = 297,688.27

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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.