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Finding the Third Proportional to 129,648 and 194,592

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Solution

The third proportional to 129,648 and 194,592 is: 292,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648 : 194,592 = 194,592 : x
  2. Step 2: Convert to fraction form
    129,648/194,592 = 194,592/x
  3. Step 3: Cross multiply
    129,648x = 194,592 × 194,592
  4. Step 4: Simplify right side
    129,648x = 37,866,046,464
  5. Step 5: Solve for x
    x = 37,866,046,464/129,648
  6. Step 6: Final answer
    x = 292,068.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.