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Finding the Third Proportional to 32,067 and 68,490

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Solution

The third proportional to 32,067 and 68,490 is: 146,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067 : 68,490 = 68,490 : x
  2. Step 2: Convert to fraction form
    32,067/68,490 = 68,490/x
  3. Step 3: Cross multiply
    32,067x = 68,490 × 68,490
  4. Step 4: Simplify right side
    32,067x = 4,690,880,100
  5. Step 5: Solve for x
    x = 4,690,880,100/32,067
  6. Step 6: Final answer
    x = 146,283.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.