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Finding the Third Proportional to 101,393.50 and 146,862

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Solution

The third proportional to 101,393.50 and 146,862 is: 212,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,393.50 : 146,862 = 146,862 : x
  2. Step 2: Convert to fraction form
    101,393.50/146,862 = 146,862/x
  3. Step 3: Cross multiply
    101,393.50x = 146,862 × 146,862
  4. Step 4: Simplify right side
    101,393.50x = 21,568,447,044
  5. Step 5: Solve for x
    x = 21,568,447,044/101,393.50
  6. Step 6: Final answer
    x = 212,720.21

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.