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Finding the Third Proportional to 56,462 and 84,790

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Solution

The third proportional to 56,462 and 84,790 is: 127,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,462 : 84,790 = 84,790 : x
  2. Step 2: Convert to fraction form
    56,462/84,790 = 84,790/x
  3. Step 3: Cross multiply
    56,462x = 84,790 × 84,790
  4. Step 4: Simplify right side
    56,462x = 7,189,344,100
  5. Step 5: Solve for x
    x = 7,189,344,100/56,462
  6. Step 6: Final answer
    x = 127,330.67

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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.