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Finding the Third Proportional to 50,716 and 78,260

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Solution

The third proportional to 50,716 and 78,260 is: 120,763.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716 : 78,260 = 78,260 : x
  2. Step 2: Convert to fraction form
    50,716/78,260 = 78,260/x
  3. Step 3: Cross multiply
    50,716x = 78,260 × 78,260
  4. Step 4: Simplify right side
    50,716x = 6,124,627,600
  5. Step 5: Solve for x
    x = 6,124,627,600/50,716
  6. Step 6: Final answer
    x = 120,763.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.