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Finding the Third Proportional to 43,707 and 72,525

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Solution

The third proportional to 43,707 and 72,525 is: 120,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,707 : 72,525 = 72,525 : x
  2. Step 2: Convert to fraction form
    43,707/72,525 = 72,525/x
  3. Step 3: Cross multiply
    43,707x = 72,525 × 72,525
  4. Step 4: Simplify right side
    43,707x = 5,259,875,625
  5. Step 5: Solve for x
    x = 5,259,875,625/43,707
  6. Step 6: Final answer
    x = 120,344.01

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.