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Finding the Third Proportional to 57,354 and 89,433

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Solution

The third proportional to 57,354 and 89,433 is: 139,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354 : 89,433 = 89,433 : x
  2. Step 2: Convert to fraction form
    57,354/89,433 = 89,433/x
  3. Step 3: Cross multiply
    57,354x = 89,433 × 89,433
  4. Step 4: Simplify right side
    57,354x = 7,998,261,489
  5. Step 5: Solve for x
    x = 7,998,261,489/57,354
  6. Step 6: Final answer
    x = 139,454.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.