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Finding the Third Proportional to 129,324 and 194,164

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Solution

The third proportional to 129,324 and 194,164 is: 291,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,324 : 194,164 = 194,164 : x
  2. Step 2: Convert to fraction form
    129,324/194,164 = 194,164/x
  3. Step 3: Cross multiply
    129,324x = 194,164 × 194,164
  4. Step 4: Simplify right side
    129,324x = 37,699,658,896
  5. Step 5: Solve for x
    x = 37,699,658,896/129,324
  6. Step 6: Final answer
    x = 291,513.24

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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.