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Finding the Third Proportional to 75,566 and 111,045

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Solution

The third proportional to 75,566 and 111,045 is: 163,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,566 : 111,045 = 111,045 : x
  2. Step 2: Convert to fraction form
    75,566/111,045 = 111,045/x
  3. Step 3: Cross multiply
    75,566x = 111,045 × 111,045
  4. Step 4: Simplify right side
    75,566x = 12,330,992,025
  5. Step 5: Solve for x
    x = 12,330,992,025/75,566
  6. Step 6: Final answer
    x = 163,181.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.