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Finding the Third Proportional to 91,018.75 and 142,468.25

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Solution

The third proportional to 91,018.75 and 142,468.25 is: 223,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,018.75 : 142,468.25 = 142,468.25 : x
  2. Step 2: Convert to fraction form
    91,018.75/142,468.25 = 142,468.25/x
  3. Step 3: Cross multiply
    91,018.75x = 142,468.25 × 142,468.25
  4. Step 4: Simplify right side
    91,018.75x = 20,297,202,258.06
  5. Step 5: Solve for x
    x = 20,297,202,258.06/91,018.75
  6. Step 6: Final answer
    x = 223,000.23

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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.