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Finding the Third Proportional to 56,836 and 90,794

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Solution

The third proportional to 56,836 and 90,794 is: 145,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,836 : 90,794 = 90,794 : x
  2. Step 2: Convert to fraction form
    56,836/90,794 = 90,794/x
  3. Step 3: Cross multiply
    56,836x = 90,794 × 90,794
  4. Step 4: Simplify right side
    56,836x = 8,243,550,436
  5. Step 5: Solve for x
    x = 8,243,550,436/56,836
  6. Step 6: Final answer
    x = 145,041.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.