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Finding the Third Proportional to 90,234 and 103,356

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Solution

The third proportional to 90,234 and 103,356 is: 118,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,234 : 103,356 = 103,356 : x
  2. Step 2: Convert to fraction form
    90,234/103,356 = 103,356/x
  3. Step 3: Cross multiply
    90,234x = 103,356 × 103,356
  4. Step 4: Simplify right side
    90,234x = 10,682,462,736
  5. Step 5: Solve for x
    x = 10,682,462,736/90,234
  6. Step 6: Final answer
    x = 118,386.23

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.