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Finding the Third Proportional to 91,201.50 and 142,339.50

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Solution

The third proportional to 91,201.50 and 142,339.50 is: 222,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,201.50 : 142,339.50 = 142,339.50 : x
  2. Step 2: Convert to fraction form
    91,201.50/142,339.50 = 142,339.50/x
  3. Step 3: Cross multiply
    91,201.50x = 142,339.50 × 142,339.50
  4. Step 4: Simplify right side
    91,201.50x = 20,260,533,260.25
  5. Step 5: Solve for x
    x = 20,260,533,260.25/91,201.50
  6. Step 6: Final answer
    x = 222,151.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.