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Finding the Third Proportional to 91,137.50 and 142,464

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Solution

The third proportional to 91,137.50 and 142,464 is: 222,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,137.50 : 142,464 = 142,464 : x
  2. Step 2: Convert to fraction form
    91,137.50/142,464 = 142,464/x
  3. Step 3: Cross multiply
    91,137.50x = 142,464 × 142,464
  4. Step 4: Simplify right side
    91,137.50x = 20,295,991,296
  5. Step 5: Solve for x
    x = 20,295,991,296/91,137.50
  6. Step 6: Final answer
    x = 222,696.38

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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.