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Finding the Third Proportional to 69,362 and 163,635

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Solution

The third proportional to 69,362 and 163,635 is: 386,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,362 : 163,635 = 163,635 : x
  2. Step 2: Convert to fraction form
    69,362/163,635 = 163,635/x
  3. Step 3: Cross multiply
    69,362x = 163,635 × 163,635
  4. Step 4: Simplify right side
    69,362x = 26,776,413,225
  5. Step 5: Solve for x
    x = 26,776,413,225/69,362
  6. Step 6: Final answer
    x = 386,038.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.