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Finding the Third Proportional to 37,074 and 81,527

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Solution

The third proportional to 37,074 and 81,527 is: 179,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,074 : 81,527 = 81,527 : x
  2. Step 2: Convert to fraction form
    37,074/81,527 = 81,527/x
  3. Step 3: Cross multiply
    37,074x = 81,527 × 81,527
  4. Step 4: Simplify right side
    37,074x = 6,646,651,729
  5. Step 5: Solve for x
    x = 6,646,651,729/37,074
  6. Step 6: Final answer
    x = 179,280.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.