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Finding the Third Proportional to 34,018.88 and 72,155.25

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Solution

The third proportional to 34,018.88 and 72,155.25 is: 153,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,018.88 : 72,155.25 = 72,155.25 : x
  2. Step 2: Convert to fraction form
    34,018.88/72,155.25 = 72,155.25/x
  3. Step 3: Cross multiply
    34,018.88x = 72,155.25 × 72,155.25
  4. Step 4: Simplify right side
    34,018.88x = 5,206,380,102.56
  5. Step 5: Solve for x
    x = 5,206,380,102.56/34,018.88
  6. Step 6: Final answer
    x = 153,043.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.