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Finding the Third Proportional to 88,757 and 194,706

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Solution

The third proportional to 88,757 and 194,706 is: 427,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,757 : 194,706 = 194,706 : x
  2. Step 2: Convert to fraction form
    88,757/194,706 = 194,706/x
  3. Step 3: Cross multiply
    88,757x = 194,706 × 194,706
  4. Step 4: Simplify right side
    88,757x = 37,910,426,436
  5. Step 5: Solve for x
    x = 37,910,426,436/88,757
  6. Step 6: Final answer
    x = 427,126.05

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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.