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Finding the Third Proportional to 124,880 and 191,492

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Solution

The third proportional to 124,880 and 191,492 is: 293,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,880 : 191,492 = 191,492 : x
  2. Step 2: Convert to fraction form
    124,880/191,492 = 191,492/x
  3. Step 3: Cross multiply
    124,880x = 191,492 × 191,492
  4. Step 4: Simplify right side
    124,880x = 36,669,186,064
  5. Step 5: Solve for x
    x = 36,669,186,064/124,880
  6. Step 6: Final answer
    x = 293,635.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.