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Finding the Third Proportional to 101,562 and 154,722

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Solution

The third proportional to 101,562 and 154,722 is: 235,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,562 : 154,722 = 154,722 : x
  2. Step 2: Convert to fraction form
    101,562/154,722 = 154,722/x
  3. Step 3: Cross multiply
    101,562x = 154,722 × 154,722
  4. Step 4: Simplify right side
    101,562x = 23,938,897,284
  5. Step 5: Solve for x
    x = 23,938,897,284/101,562
  6. Step 6: Final answer
    x = 235,707.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.