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Finding the Third Proportional to 56,077 and 83,306

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Solution

The third proportional to 56,077 and 83,306 is: 123,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,077 : 83,306 = 83,306 : x
  2. Step 2: Convert to fraction form
    56,077/83,306 = 83,306/x
  3. Step 3: Cross multiply
    56,077x = 83,306 × 83,306
  4. Step 4: Simplify right side
    56,077x = 6,939,889,636
  5. Step 5: Solve for x
    x = 6,939,889,636/56,077
  6. Step 6: Final answer
    x = 123,756.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.