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Finding the Third Proportional to 66,762 and 93,906

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Solution

The third proportional to 66,762 and 93,906 is: 132,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,762 : 93,906 = 93,906 : x
  2. Step 2: Convert to fraction form
    66,762/93,906 = 93,906/x
  3. Step 3: Cross multiply
    66,762x = 93,906 × 93,906
  4. Step 4: Simplify right side
    66,762x = 8,818,336,836
  5. Step 5: Solve for x
    x = 8,818,336,836/66,762
  6. Step 6: Final answer
    x = 132,086.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.