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Finding the Third Proportional to 57,156 and 89,004.75

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Solution

The third proportional to 57,156 and 89,004.75 is: 138,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,156 : 89,004.75 = 89,004.75 : x
  2. Step 2: Convert to fraction form
    57,156/89,004.75 = 89,004.75/x
  3. Step 3: Cross multiply
    57,156x = 89,004.75 × 89,004.75
  4. Step 4: Simplify right side
    57,156x = 7,921,845,522.56
  5. Step 5: Solve for x
    x = 7,921,845,522.56/57,156
  6. Step 6: Final answer
    x = 138,600.42

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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.