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Finding the Third Proportional to 69,755 and 152,551

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Solution

The third proportional to 69,755 and 152,551 is: 333,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,755 : 152,551 = 152,551 : x
  2. Step 2: Convert to fraction form
    69,755/152,551 = 152,551/x
  3. Step 3: Cross multiply
    69,755x = 152,551 × 152,551
  4. Step 4: Simplify right side
    69,755x = 23,271,807,601
  5. Step 5: Solve for x
    x = 23,271,807,601/69,755
  6. Step 6: Final answer
    x = 333,622.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.