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Finding the Third Proportional to 64,046.50 and 102,315.75

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Solution

The third proportional to 64,046.50 and 102,315.75 is: 163,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,046.50 : 102,315.75 = 102,315.75 : x
  2. Step 2: Convert to fraction form
    64,046.50/102,315.75 = 102,315.75/x
  3. Step 3: Cross multiply
    64,046.50x = 102,315.75 × 102,315.75
  4. Step 4: Simplify right side
    64,046.50x = 10,468,512,698.06
  5. Step 5: Solve for x
    x = 10,468,512,698.06/64,046.50
  6. Step 6: Final answer
    x = 163,451.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.