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Finding the Third Proportional to 57,672 and 77,598

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Solution

The third proportional to 57,672 and 77,598 is: 104,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672 : 77,598 = 77,598 : x
  2. Step 2: Convert to fraction form
    57,672/77,598 = 77,598/x
  3. Step 3: Cross multiply
    57,672x = 77,598 × 77,598
  4. Step 4: Simplify right side
    57,672x = 6,021,449,604
  5. Step 5: Solve for x
    x = 6,021,449,604/57,672
  6. Step 6: Final answer
    x = 104,408.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.