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Finding the Third Proportional to 96,861 and 145,285.50

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Solution

The third proportional to 96,861 and 145,285.50 is: 217,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,861 : 145,285.50 = 145,285.50 : x
  2. Step 2: Convert to fraction form
    96,861/145,285.50 = 145,285.50/x
  3. Step 3: Cross multiply
    96,861x = 145,285.50 × 145,285.50
  4. Step 4: Simplify right side
    96,861x = 21,107,876,510.25
  5. Step 5: Solve for x
    x = 21,107,876,510.25/96,861
  6. Step 6: Final answer
    x = 217,919.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.