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Finding the Third Proportional to 96,073.59 and 143,666.16

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Solution

The third proportional to 96,073.59 and 143,666.16 is: 214,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,073.59 : 143,666.16 = 143,666.16 : x
  2. Step 2: Convert to fraction form
    96,073.59/143,666.16 = 143,666.16/x
  3. Step 3: Cross multiply
    96,073.59x = 143,666.16 × 143,666.16
  4. Step 4: Simplify right side
    96,073.59x = 20,639,964,451.65
  5. Step 5: Solve for x
    x = 20,639,964,451.65/96,073.59
  6. Step 6: Final answer
    x = 214,834.94

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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.