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Finding the Third Proportional to 57,923 and 89,545

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Solution

The third proportional to 57,923 and 89,545 is: 138,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,923 : 89,545 = 89,545 : x
  2. Step 2: Convert to fraction form
    57,923/89,545 = 89,545/x
  3. Step 3: Cross multiply
    57,923x = 89,545 × 89,545
  4. Step 4: Simplify right side
    57,923x = 8,018,307,025
  5. Step 5: Solve for x
    x = 8,018,307,025/57,923
  6. Step 6: Final answer
    x = 138,430.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.