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Finding the Third Proportional to 96,507.56 and 139,225.50

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Solution

The third proportional to 96,507.56 and 139,225.50 is: 200,852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,507.56 : 139,225.50 = 139,225.50 : x
  2. Step 2: Convert to fraction form
    96,507.56/139,225.50 = 139,225.50/x
  3. Step 3: Cross multiply
    96,507.56x = 139,225.50 × 139,225.50
  4. Step 4: Simplify right side
    96,507.56x = 19,383,739,850.25
  5. Step 5: Solve for x
    x = 19,383,739,850.25/96,507.56
  6. Step 6: Final answer
    x = 200,852.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.