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Finding the Third Proportional to 51,617 and 75,433

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Solution

The third proportional to 51,617 and 75,433 is: 110,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,617 : 75,433 = 75,433 : x
  2. Step 2: Convert to fraction form
    51,617/75,433 = 75,433/x
  3. Step 3: Cross multiply
    51,617x = 75,433 × 75,433
  4. Step 4: Simplify right side
    51,617x = 5,690,137,489
  5. Step 5: Solve for x
    x = 5,690,137,489/51,617
  6. Step 6: Final answer
    x = 110,237.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.