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Finding the Third Proportional to 29,564 and 68,371

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Solution

The third proportional to 29,564 and 68,371 is: 158,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564 : 68,371 = 68,371 : x
  2. Step 2: Convert to fraction form
    29,564/68,371 = 68,371/x
  3. Step 3: Cross multiply
    29,564x = 68,371 × 68,371
  4. Step 4: Simplify right side
    29,564x = 4,674,593,641
  5. Step 5: Solve for x
    x = 4,674,593,641/29,564
  6. Step 6: Final answer
    x = 158,117.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.