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Finding the Third Proportional to 56,064 and 84,330

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Solution

The third proportional to 56,064 and 84,330 is: 126,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064 : 84,330 = 84,330 : x
  2. Step 2: Convert to fraction form
    56,064/84,330 = 84,330/x
  3. Step 3: Cross multiply
    56,064x = 84,330 × 84,330
  4. Step 4: Simplify right side
    56,064x = 7,111,548,900
  5. Step 5: Solve for x
    x = 7,111,548,900/56,064
  6. Step 6: Final answer
    x = 126,846.98

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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.