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Finding the Third Proportional to 53,434 and 75,951

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Solution

The third proportional to 53,434 and 75,951 is: 107,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,434 : 75,951 = 75,951 : x
  2. Step 2: Convert to fraction form
    53,434/75,951 = 75,951/x
  3. Step 3: Cross multiply
    53,434x = 75,951 × 75,951
  4. Step 4: Simplify right side
    53,434x = 5,768,554,401
  5. Step 5: Solve for x
    x = 5,768,554,401/53,434
  6. Step 6: Final answer
    x = 107,956.63

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.