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Finding the Third Proportional to 101,067.75 and 158,527.13

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Solution

The third proportional to 101,067.75 and 158,527.13 is: 248,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,067.75 : 158,527.13 = 158,527.13 : x
  2. Step 2: Convert to fraction form
    101,067.75/158,527.13 = 158,527.13/x
  3. Step 3: Cross multiply
    101,067.75x = 158,527.13 × 158,527.13
  4. Step 4: Simplify right side
    101,067.75x = 25,130,849,360.77
  5. Step 5: Solve for x
    x = 25,130,849,360.77/101,067.75
  6. Step 6: Final answer
    x = 248,653.50

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.