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Finding the Third Proportional to 90,110 and 141,351

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Solution

The third proportional to 90,110 and 141,351 is: 221,730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,110 : 141,351 = 141,351 : x
  2. Step 2: Convert to fraction form
    90,110/141,351 = 141,351/x
  3. Step 3: Cross multiply
    90,110x = 141,351 × 141,351
  4. Step 4: Simplify right side
    90,110x = 19,980,105,201
  5. Step 5: Solve for x
    x = 19,980,105,201/90,110
  6. Step 6: Final answer
    x = 221,730.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.