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Finding the Third Proportional to 37,300.50 and 81,159.50

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Solution

The third proportional to 37,300.50 and 81,159.50 is: 176,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,300.50 : 81,159.50 = 81,159.50 : x
  2. Step 2: Convert to fraction form
    37,300.50/81,159.50 = 81,159.50/x
  3. Step 3: Cross multiply
    37,300.50x = 81,159.50 × 81,159.50
  4. Step 4: Simplify right side
    37,300.50x = 6,586,864,440.25
  5. Step 5: Solve for x
    x = 6,586,864,440.25/37,300.50
  6. Step 6: Final answer
    x = 176,589.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.