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Finding the Third Proportional to 69,230 and 162,095

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Solution

The third proportional to 69,230 and 162,095 is: 379,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,230 : 162,095 = 162,095 : x
  2. Step 2: Convert to fraction form
    69,230/162,095 = 162,095/x
  3. Step 3: Cross multiply
    69,230x = 162,095 × 162,095
  4. Step 4: Simplify right side
    69,230x = 26,274,789,025
  5. Step 5: Solve for x
    x = 26,274,789,025/69,230
  6. Step 6: Final answer
    x = 379,528.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.