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Finding the Third Proportional to 52,641 and 68,297

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Solution

The third proportional to 52,641 and 68,297 is: 88,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641 : 68,297 = 68,297 : x
  2. Step 2: Convert to fraction form
    52,641/68,297 = 68,297/x
  3. Step 3: Cross multiply
    52,641x = 68,297 × 68,297
  4. Step 4: Simplify right side
    52,641x = 4,664,480,209
  5. Step 5: Solve for x
    x = 4,664,480,209/52,641
  6. Step 6: Final answer
    x = 88,609.26

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.