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Finding the Third Proportional to 68,532 and 102,797

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Solution

The third proportional to 68,532 and 102,797 is: 154,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,532 : 102,797 = 102,797 : x
  2. Step 2: Convert to fraction form
    68,532/102,797 = 102,797/x
  3. Step 3: Cross multiply
    68,532x = 102,797 × 102,797
  4. Step 4: Simplify right side
    68,532x = 10,567,223,209
  5. Step 5: Solve for x
    x = 10,567,223,209/68,532
  6. Step 6: Final answer
    x = 154,194.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.