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Finding the Third Proportional to 59,539 and 81,079.50

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Solution

The third proportional to 59,539 and 81,079.50 is: 110,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,539 : 81,079.50 = 81,079.50 : x
  2. Step 2: Convert to fraction form
    59,539/81,079.50 = 81,079.50/x
  3. Step 3: Cross multiply
    59,539x = 81,079.50 × 81,079.50
  4. Step 4: Simplify right side
    59,539x = 6,573,885,320.25
  5. Step 5: Solve for x
    x = 6,573,885,320.25/59,539
  6. Step 6: Final answer
    x = 110,413.10

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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.