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Finding the Third Proportional to 96,210.50 and 150,924.50

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Solution

The third proportional to 96,210.50 and 150,924.50 is: 236,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,210.50 : 150,924.50 = 150,924.50 : x
  2. Step 2: Convert to fraction form
    96,210.50/150,924.50 = 150,924.50/x
  3. Step 3: Cross multiply
    96,210.50x = 150,924.50 × 150,924.50
  4. Step 4: Simplify right side
    96,210.50x = 22,778,204,700.25
  5. Step 5: Solve for x
    x = 22,778,204,700.25/96,210.50
  6. Step 6: Final answer
    x = 236,753.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.