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Finding the Third Proportional to 50,977 and 119,953

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Solution

The third proportional to 50,977 and 119,953 is: 282,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977 : 119,953 = 119,953 : x
  2. Step 2: Convert to fraction form
    50,977/119,953 = 119,953/x
  3. Step 3: Cross multiply
    50,977x = 119,953 × 119,953
  4. Step 4: Simplify right side
    50,977x = 14,388,722,209
  5. Step 5: Solve for x
    x = 14,388,722,209/50,977
  6. Step 6: Final answer
    x = 282,259.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.