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Finding the Third Proportional to 91,057.50 and 138,226.50

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Solution

The third proportional to 91,057.50 and 138,226.50 is: 209,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,057.50 : 138,226.50 = 138,226.50 : x
  2. Step 2: Convert to fraction form
    91,057.50/138,226.50 = 138,226.50/x
  3. Step 3: Cross multiply
    91,057.50x = 138,226.50 × 138,226.50
  4. Step 4: Simplify right side
    91,057.50x = 19,106,565,302.25
  5. Step 5: Solve for x
    x = 19,106,565,302.25/91,057.50
  6. Step 6: Final answer
    x = 209,829.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.