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Finding the Third Proportional to 101,804 and 158,522

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Solution

The third proportional to 101,804 and 158,522 is: 246,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,804 : 158,522 = 158,522 : x
  2. Step 2: Convert to fraction form
    101,804/158,522 = 158,522/x
  3. Step 3: Cross multiply
    101,804x = 158,522 × 158,522
  4. Step 4: Simplify right side
    101,804x = 25,129,224,484
  5. Step 5: Solve for x
    x = 25,129,224,484/101,804
  6. Step 6: Final answer
    x = 246,839.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.