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Finding the Third Proportional to 50,155 and 77,754

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Solution

The third proportional to 50,155 and 77,754 is: 120,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,155 : 77,754 = 77,754 : x
  2. Step 2: Convert to fraction form
    50,155/77,754 = 77,754/x
  3. Step 3: Cross multiply
    50,155x = 77,754 × 77,754
  4. Step 4: Simplify right side
    50,155x = 6,045,684,516
  5. Step 5: Solve for x
    x = 6,045,684,516/50,155
  6. Step 6: Final answer
    x = 120,540.02

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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.