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Finding the Third Proportional to 91,014.25 and 142,462.25

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Solution

The third proportional to 91,014.25 and 142,462.25 is: 222,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,014.25 : 142,462.25 = 142,462.25 : x
  2. Step 2: Convert to fraction form
    91,014.25/142,462.25 = 142,462.25/x
  3. Step 3: Cross multiply
    91,014.25x = 142,462.25 × 142,462.25
  4. Step 4: Simplify right side
    91,014.25x = 20,295,492,675.06
  5. Step 5: Solve for x
    x = 20,295,492,675.06/91,014.25
  6. Step 6: Final answer
    x = 222,992.47

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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.