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Finding the Third Proportional to 88,652 and 194,527

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Solution

The third proportional to 88,652 and 194,527 is: 426,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,652 : 194,527 = 194,527 : x
  2. Step 2: Convert to fraction form
    88,652/194,527 = 194,527/x
  3. Step 3: Cross multiply
    88,652x = 194,527 × 194,527
  4. Step 4: Simplify right side
    88,652x = 37,840,753,729
  5. Step 5: Solve for x
    x = 37,840,753,729/88,652
  6. Step 6: Final answer
    x = 426,846.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.