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Finding the Third Proportional to 83,064 and 128,832

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Solution

The third proportional to 83,064 and 128,832 is: 199,818.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,064 : 128,832 = 128,832 : x
  2. Step 2: Convert to fraction form
    83,064/128,832 = 128,832/x
  3. Step 3: Cross multiply
    83,064x = 128,832 × 128,832
  4. Step 4: Simplify right side
    83,064x = 16,597,684,224
  5. Step 5: Solve for x
    x = 16,597,684,224/83,064
  6. Step 6: Final answer
    x = 199,818.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.