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Finding the Third Proportional to 57,433 and 89,066

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Solution

The third proportional to 57,433 and 89,066 is: 138,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,433 : 89,066 = 89,066 : x
  2. Step 2: Convert to fraction form
    57,433/89,066 = 89,066/x
  3. Step 3: Cross multiply
    57,433x = 89,066 × 89,066
  4. Step 4: Simplify right side
    57,433x = 7,932,752,356
  5. Step 5: Solve for x
    x = 7,932,752,356/57,433
  6. Step 6: Final answer
    x = 138,121.85

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Why These Related Problems?

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