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Finding the Third Proportional to 101,012.06 and 154,593.56

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Solution

The third proportional to 101,012.06 and 154,593.56 is: 236,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,012.06 : 154,593.56 = 154,593.56 : x
  2. Step 2: Convert to fraction form
    101,012.06/154,593.56 = 154,593.56/x
  3. Step 3: Cross multiply
    101,012.06x = 154,593.56 × 154,593.56
  4. Step 4: Simplify right side
    101,012.06x = 23,899,169,566.44
  5. Step 5: Solve for x
    x = 23,899,169,566.44/101,012.06
  6. Step 6: Final answer
    x = 236,597.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.