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Finding the Third Proportional to 50,170 and 77,726

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Solution

The third proportional to 50,170 and 77,726 is: 120,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170 : 77,726 = 77,726 : x
  2. Step 2: Convert to fraction form
    50,170/77,726 = 77,726/x
  3. Step 3: Cross multiply
    50,170x = 77,726 × 77,726
  4. Step 4: Simplify right side
    50,170x = 6,041,331,076
  5. Step 5: Solve for x
    x = 6,041,331,076/50,170
  6. Step 6: Final answer
    x = 120,417.20

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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.