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Finding the Third Proportional to 91,174.50 and 142,299

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Solution

The third proportional to 91,174.50 and 142,299 is: 222,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,174.50 : 142,299 = 142,299 : x
  2. Step 2: Convert to fraction form
    91,174.50/142,299 = 142,299/x
  3. Step 3: Cross multiply
    91,174.50x = 142,299 × 142,299
  4. Step 4: Simplify right side
    91,174.50x = 20,249,005,401
  5. Step 5: Solve for x
    x = 20,249,005,401/91,174.50
  6. Step 6: Final answer
    x = 222,090.67

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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.