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Finding the Third Proportional to 124,227 and 186,354

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Solution

The third proportional to 124,227 and 186,354 is: 279,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,227 : 186,354 = 186,354 : x
  2. Step 2: Convert to fraction form
    124,227/186,354 = 186,354/x
  3. Step 3: Cross multiply
    124,227x = 186,354 × 186,354
  4. Step 4: Simplify right side
    124,227x = 34,727,813,316
  5. Step 5: Solve for x
    x = 34,727,813,316/124,227
  6. Step 6: Final answer
    x = 279,551.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.