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Finding the Third Proportional to 32,154 and 69,673

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Solution

The third proportional to 32,154 and 69,673 is: 150,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154 : 69,673 = 69,673 : x
  2. Step 2: Convert to fraction form
    32,154/69,673 = 69,673/x
  3. Step 3: Cross multiply
    32,154x = 69,673 × 69,673
  4. Step 4: Simplify right side
    32,154x = 4,854,326,929
  5. Step 5: Solve for x
    x = 4,854,326,929/32,154
  6. Step 6: Final answer
    x = 150,971.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.