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Finding the Third Proportional to 59,767 and 81,205

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Solution

The third proportional to 59,767 and 81,205 is: 110,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,767 : 81,205 = 81,205 : x
  2. Step 2: Convert to fraction form
    59,767/81,205 = 81,205/x
  3. Step 3: Cross multiply
    59,767x = 81,205 × 81,205
  4. Step 4: Simplify right side
    59,767x = 6,594,252,025
  5. Step 5: Solve for x
    x = 6,594,252,025/59,767
  6. Step 6: Final answer
    x = 110,332.66

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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.