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Finding the Third Proportional to 74,418.75 and 175,639.50

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Solution

The third proportional to 74,418.75 and 175,639.50 is: 414,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,418.75 : 175,639.50 = 175,639.50 : x
  2. Step 2: Convert to fraction form
    74,418.75/175,639.50 = 175,639.50/x
  3. Step 3: Cross multiply
    74,418.75x = 175,639.50 × 175,639.50
  4. Step 4: Simplify right side
    74,418.75x = 30,849,233,960.25
  5. Step 5: Solve for x
    x = 30,849,233,960.25/74,418.75
  6. Step 6: Final answer
    x = 414,535.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.