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Finding the Third Proportional to 69,566 and 93,195

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Solution

The third proportional to 69,566 and 93,195 is: 124,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,566 : 93,195 = 93,195 : x
  2. Step 2: Convert to fraction form
    69,566/93,195 = 93,195/x
  3. Step 3: Cross multiply
    69,566x = 93,195 × 93,195
  4. Step 4: Simplify right side
    69,566x = 8,685,308,025
  5. Step 5: Solve for x
    x = 8,685,308,025/69,566
  6. Step 6: Final answer
    x = 124,849.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.