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Finding the Third Proportional to 59,530.25 and 81,069

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Solution

The third proportional to 59,530.25 and 81,069 is: 110,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,530.25 : 81,069 = 81,069 : x
  2. Step 2: Convert to fraction form
    59,530.25/81,069 = 81,069/x
  3. Step 3: Cross multiply
    59,530.25x = 81,069 × 81,069
  4. Step 4: Simplify right side
    59,530.25x = 6,572,182,761
  5. Step 5: Solve for x
    x = 6,572,182,761/59,530.25
  6. Step 6: Final answer
    x = 110,400.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.