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Finding the Third Proportional to 88,551 and 194,454

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Solution

The third proportional to 88,551 and 194,454 is: 427,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,551 : 194,454 = 194,454 : x
  2. Step 2: Convert to fraction form
    88,551/194,454 = 194,454/x
  3. Step 3: Cross multiply
    88,551x = 194,454 × 194,454
  4. Step 4: Simplify right side
    88,551x = 37,812,358,116
  5. Step 5: Solve for x
    x = 37,812,358,116/88,551
  6. Step 6: Final answer
    x = 427,012.21

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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.