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Finding the Third Proportional to 32,314 and 68,535

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Solution

The third proportional to 32,314 and 68,535 is: 145,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314 : 68,535 = 68,535 : x
  2. Step 2: Convert to fraction form
    32,314/68,535 = 68,535/x
  3. Step 3: Cross multiply
    32,314x = 68,535 × 68,535
  4. Step 4: Simplify right side
    32,314x = 4,697,046,225
  5. Step 5: Solve for x
    x = 4,697,046,225/32,314
  6. Step 6: Final answer
    x = 145,356.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.