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Finding the Third Proportional to 32,137 and 67,297

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Solution

The third proportional to 32,137 and 67,297 is: 140,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137 : 67,297 = 67,297 : x
  2. Step 2: Convert to fraction form
    32,137/67,297 = 67,297/x
  3. Step 3: Cross multiply
    32,137x = 67,297 × 67,297
  4. Step 4: Simplify right side
    32,137x = 4,528,886,209
  5. Step 5: Solve for x
    x = 4,528,886,209/32,137
  6. Step 6: Final answer
    x = 140,924.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.