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Finding the Third Proportional to 69,746 and 151,083

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Solution

The third proportional to 69,746 and 151,083 is: 327,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,746 : 151,083 = 151,083 : x
  2. Step 2: Convert to fraction form
    69,746/151,083 = 151,083/x
  3. Step 3: Cross multiply
    69,746x = 151,083 × 151,083
  4. Step 4: Simplify right side
    69,746x = 22,826,072,889
  5. Step 5: Solve for x
    x = 22,826,072,889/69,746
  6. Step 6: Final answer
    x = 327,274.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.