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Finding the Third Proportional to 69,707 and 152,755

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Solution

The third proportional to 69,707 and 152,755 is: 334,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,707 : 152,755 = 152,755 : x
  2. Step 2: Convert to fraction form
    69,707/152,755 = 152,755/x
  3. Step 3: Cross multiply
    69,707x = 152,755 × 152,755
  4. Step 4: Simplify right side
    69,707x = 23,334,090,025
  5. Step 5: Solve for x
    x = 23,334,090,025/69,707
  6. Step 6: Final answer
    x = 334,745.29

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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.