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Finding the Third Proportional to 65,896.50 and 144,339

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Solution

The third proportional to 65,896.50 and 144,339 is: 316,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,896.50 : 144,339 = 144,339 : x
  2. Step 2: Convert to fraction form
    65,896.50/144,339 = 144,339/x
  3. Step 3: Cross multiply
    65,896.50x = 144,339 × 144,339
  4. Step 4: Simplify right side
    65,896.50x = 20,833,746,921
  5. Step 5: Solve for x
    x = 20,833,746,921/65,896.50
  6. Step 6: Final answer
    x = 316,158.63

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Why These Related Problems?

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