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Finding the Third Proportional to 101,681.50 and 154,595

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Solution

The third proportional to 101,681.50 and 154,595 is: 235,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,681.50 : 154,595 = 154,595 : x
  2. Step 2: Convert to fraction form
    101,681.50/154,595 = 154,595/x
  3. Step 3: Cross multiply
    101,681.50x = 154,595 × 154,595
  4. Step 4: Simplify right side
    101,681.50x = 23,899,614,025
  5. Step 5: Solve for x
    x = 23,899,614,025/101,681.50
  6. Step 6: Final answer
    x = 235,043.88

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