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Finding the Third Proportional to 94,288 and 133,656

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Solution

The third proportional to 94,288 and 133,656 is: 189,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,288 : 133,656 = 133,656 : x
  2. Step 2: Convert to fraction form
    94,288/133,656 = 133,656/x
  3. Step 3: Cross multiply
    94,288x = 133,656 × 133,656
  4. Step 4: Simplify right side
    94,288x = 17,863,926,336
  5. Step 5: Solve for x
    x = 17,863,926,336/94,288
  6. Step 6: Final answer
    x = 189,461.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.