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Finding the Third Proportional to 55,330 and 83,035

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Solution

The third proportional to 55,330 and 83,035 is: 124,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,330 : 83,035 = 83,035 : x
  2. Step 2: Convert to fraction form
    55,330/83,035 = 83,035/x
  3. Step 3: Cross multiply
    55,330x = 83,035 × 83,035
  4. Step 4: Simplify right side
    55,330x = 6,894,811,225
  5. Step 5: Solve for x
    x = 6,894,811,225/55,330
  6. Step 6: Final answer
    x = 124,612.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.