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Finding the Third Proportional to 56,323 and 84,318

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Solution

The third proportional to 56,323 and 84,318 is: 126,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,323 : 84,318 = 84,318 : x
  2. Step 2: Convert to fraction form
    56,323/84,318 = 84,318/x
  3. Step 3: Cross multiply
    56,323x = 84,318 × 84,318
  4. Step 4: Simplify right side
    56,323x = 7,109,525,124
  5. Step 5: Solve for x
    x = 7,109,525,124/56,323
  6. Step 6: Final answer
    x = 126,227.74

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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.