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Finding the Third Proportional to 56,078 and 118,489

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Solution

The third proportional to 56,078 and 118,489 is: 250,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,078 : 118,489 = 118,489 : x
  2. Step 2: Convert to fraction form
    56,078/118,489 = 118,489/x
  3. Step 3: Cross multiply
    56,078x = 118,489 × 118,489
  4. Step 4: Simplify right side
    56,078x = 14,039,643,121
  5. Step 5: Solve for x
    x = 14,039,643,121/56,078
  6. Step 6: Final answer
    x = 250,359.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.