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Finding the Third Proportional to 129,360 and 194,520

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Solution

The third proportional to 129,360 and 194,520 is: 292,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,360 : 194,520 = 194,520 : x
  2. Step 2: Convert to fraction form
    129,360/194,520 = 194,520/x
  3. Step 3: Cross multiply
    129,360x = 194,520 × 194,520
  4. Step 4: Simplify right side
    129,360x = 37,838,030,400
  5. Step 5: Solve for x
    x = 37,838,030,400/129,360
  6. Step 6: Final answer
    x = 292,501.78

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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.