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Finding the Third Proportional to 129,312 and 194,121

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Solution

The third proportional to 129,312 and 194,121 is: 291,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,312 : 194,121 = 194,121 : x
  2. Step 2: Convert to fraction form
    129,312/194,121 = 194,121/x
  3. Step 3: Cross multiply
    129,312x = 194,121 × 194,121
  4. Step 4: Simplify right side
    129,312x = 37,682,962,641
  5. Step 5: Solve for x
    x = 37,682,962,641/129,312
  6. Step 6: Final answer
    x = 291,411.18

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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.