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Finding the Third Proportional to 129,004 and 194,262

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Solution

The third proportional to 129,004 and 194,262 is: 292,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,004 : 194,262 = 194,262 : x
  2. Step 2: Convert to fraction form
    129,004/194,262 = 194,262/x
  3. Step 3: Cross multiply
    129,004x = 194,262 × 194,262
  4. Step 4: Simplify right side
    129,004x = 37,737,724,644
  5. Step 5: Solve for x
    x = 37,737,724,644/129,004
  6. Step 6: Final answer
    x = 292,531.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.