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Finding the Third Proportional to 50,492 and 78,179

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Solution

The third proportional to 50,492 and 78,179 is: 121,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492 : 78,179 = 78,179 : x
  2. Step 2: Convert to fraction form
    50,492/78,179 = 78,179/x
  3. Step 3: Cross multiply
    50,492x = 78,179 × 78,179
  4. Step 4: Simplify right side
    50,492x = 6,111,956,041
  5. Step 5: Solve for x
    x = 6,111,956,041/50,492
  6. Step 6: Final answer
    x = 121,048.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.