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Finding the Third Proportional to 65,639.25 and 144,042.75

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Solution

The third proportional to 65,639.25 and 144,042.75 is: 316,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,639.25 : 144,042.75 = 144,042.75 : x
  2. Step 2: Convert to fraction form
    65,639.25/144,042.75 = 144,042.75/x
  3. Step 3: Cross multiply
    65,639.25x = 144,042.75 × 144,042.75
  4. Step 4: Simplify right side
    65,639.25x = 20,748,313,827.56
  5. Step 5: Solve for x
    x = 20,748,313,827.56/65,639.25
  6. Step 6: Final answer
    x = 316,096.14

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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.