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Finding the Third Proportional to 50,870 and 77,489

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Solution

The third proportional to 50,870 and 77,489 is: 118,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870 : 77,489 = 77,489 : x
  2. Step 2: Convert to fraction form
    50,870/77,489 = 77,489/x
  3. Step 3: Cross multiply
    50,870x = 77,489 × 77,489
  4. Step 4: Simplify right side
    50,870x = 6,004,545,121
  5. Step 5: Solve for x
    x = 6,004,545,121/50,870
  6. Step 6: Final answer
    x = 118,037.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.