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Finding the Third Proportional to 57,019.75 and 82,135

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Solution

The third proportional to 57,019.75 and 82,135 is: 118,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,019.75 : 82,135 = 82,135 : x
  2. Step 2: Convert to fraction form
    57,019.75/82,135 = 82,135/x
  3. Step 3: Cross multiply
    57,019.75x = 82,135 × 82,135
  4. Step 4: Simplify right side
    57,019.75x = 6,746,158,225
  5. Step 5: Solve for x
    x = 6,746,158,225/57,019.75
  6. Step 6: Final answer
    x = 118,312.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.