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Finding the Third Proportional to 56,114 and 83,667

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Solution

The third proportional to 56,114 and 83,667 is: 124,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,114 : 83,667 = 83,667 : x
  2. Step 2: Convert to fraction form
    56,114/83,667 = 83,667/x
  3. Step 3: Cross multiply
    56,114x = 83,667 × 83,667
  4. Step 4: Simplify right side
    56,114x = 7,000,166,889
  5. Step 5: Solve for x
    x = 7,000,166,889/56,114
  6. Step 6: Final answer
    x = 124,749.03

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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.