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Finding the Third Proportional to 32,306 and 69,555

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Solution

The third proportional to 32,306 and 69,555 is: 149,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306 : 69,555 = 69,555 : x
  2. Step 2: Convert to fraction form
    32,306/69,555 = 69,555/x
  3. Step 3: Cross multiply
    32,306x = 69,555 × 69,555
  4. Step 4: Simplify right side
    32,306x = 4,837,898,025
  5. Step 5: Solve for x
    x = 4,837,898,025/32,306
  6. Step 6: Final answer
    x = 149,752.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.