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Finding the Third Proportional to 90,141.75 and 130,565.25

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Solution

The third proportional to 90,141.75 and 130,565.25 is: 189,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,141.75 : 130,565.25 = 130,565.25 : x
  2. Step 2: Convert to fraction form
    90,141.75/130,565.25 = 130,565.25/x
  3. Step 3: Cross multiply
    90,141.75x = 130,565.25 × 130,565.25
  4. Step 4: Simplify right side
    90,141.75x = 17,047,284,507.56
  5. Step 5: Solve for x
    x = 17,047,284,507.56/90,141.75
  6. Step 6: Final answer
    x = 189,116.41

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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.