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Finding the Third Proportional to 34,038.56 and 73,134.56

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Solution

The third proportional to 34,038.56 and 73,134.56 is: 157,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038.56 : 73,134.56 = 73,134.56 : x
  2. Step 2: Convert to fraction form
    34,038.56/73,134.56 = 73,134.56/x
  3. Step 3: Cross multiply
    34,038.56x = 73,134.56 × 73,134.56
  4. Step 4: Simplify right side
    34,038.56x = 5,348,664,232.07
  5. Step 5: Solve for x
    x = 5,348,664,232.07/34,038.56
  6. Step 6: Final answer
    x = 157,135.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.