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Finding the Third Proportional to 64,022.91 and 96,239.39

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Solution

The third proportional to 64,022.91 and 96,239.39 is: 144,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,022.91 : 96,239.39 = 96,239.39 : x
  2. Step 2: Convert to fraction form
    64,022.91/96,239.39 = 96,239.39/x
  3. Step 3: Cross multiply
    64,022.91x = 96,239.39 × 96,239.39
  4. Step 4: Simplify right side
    64,022.91x = 9,262,020,307.87
  5. Step 5: Solve for x
    x = 9,262,020,307.87/64,022.91
  6. Step 6: Final answer
    x = 144,667.29

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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.