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Finding the Third Proportional to 103,497.75 and 139,092.19

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Solution

The third proportional to 103,497.75 and 139,092.19 is: 186,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,497.75 : 139,092.19 = 139,092.19 : x
  2. Step 2: Convert to fraction form
    103,497.75/139,092.19 = 139,092.19/x
  3. Step 3: Cross multiply
    103,497.75x = 139,092.19 × 139,092.19
  4. Step 4: Simplify right side
    103,497.75x = 19,346,636,623.54
  5. Step 5: Solve for x
    x = 19,346,636,623.54/103,497.75
  6. Step 6: Final answer
    x = 186,928.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.