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Finding the Third Proportional to 64,050.75 and 95,721.75

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Solution

The third proportional to 64,050.75 and 95,721.75 is: 143,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,050.75 : 95,721.75 = 95,721.75 : x
  2. Step 2: Convert to fraction form
    64,050.75/95,721.75 = 95,721.75/x
  3. Step 3: Cross multiply
    64,050.75x = 95,721.75 × 95,721.75
  4. Step 4: Simplify right side
    64,050.75x = 9,162,653,423.06
  5. Step 5: Solve for x
    x = 9,162,653,423.06/64,050.75
  6. Step 6: Final answer
    x = 143,053.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.