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Finding the Third Proportional to 50,078 and 77,506

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Solution

The third proportional to 50,078 and 77,506 is: 119,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,078 : 77,506 = 77,506 : x
  2. Step 2: Convert to fraction form
    50,078/77,506 = 77,506/x
  3. Step 3: Cross multiply
    50,078x = 77,506 × 77,506
  4. Step 4: Simplify right side
    50,078x = 6,007,180,036
  5. Step 5: Solve for x
    x = 6,007,180,036/50,078
  6. Step 6: Final answer
    x = 119,956.47

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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.