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Finding the Third Proportional to 129,492 and 189,594

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Solution

The third proportional to 129,492 and 189,594 is: 277,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,492 : 189,594 = 189,594 : x
  2. Step 2: Convert to fraction form
    129,492/189,594 = 189,594/x
  3. Step 3: Cross multiply
    129,492x = 189,594 × 189,594
  4. Step 4: Simplify right side
    129,492x = 35,945,884,836
  5. Step 5: Solve for x
    x = 35,945,884,836/129,492
  6. Step 6: Final answer
    x = 277,591.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.