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Finding the Third Proportional to 68,002.03 and 107,652.80

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Solution

The third proportional to 68,002.03 and 107,652.80 is: 170,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,002.03 : 107,652.80 = 107,652.80 : x
  2. Step 2: Convert to fraction form
    68,002.03/107,652.80 = 107,652.80/x
  3. Step 3: Cross multiply
    68,002.03x = 107,652.80 × 107,652.80
  4. Step 4: Simplify right side
    68,002.03x = 11,589,124,675.01
  5. Step 5: Solve for x
    x = 11,589,124,675.01/68,002.03
  6. Step 6: Final answer
    x = 170,423.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.