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Finding the Third Proportional to 99,135.75 and 141,321.75

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Solution

The third proportional to 99,135.75 and 141,321.75 is: 201,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135.75 : 141,321.75 = 141,321.75 : x
  2. Step 2: Convert to fraction form
    99,135.75/141,321.75 = 141,321.75/x
  3. Step 3: Cross multiply
    99,135.75x = 141,321.75 × 141,321.75
  4. Step 4: Simplify right side
    99,135.75x = 19,971,837,023.06
  5. Step 5: Solve for x
    x = 19,971,837,023.06/99,135.75
  6. Step 6: Final answer
    x = 201,459.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.