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Finding the Third Proportional to 56,467 and 86,462

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Solution

The third proportional to 56,467 and 86,462 is: 132,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,467 : 86,462 = 86,462 : x
  2. Step 2: Convert to fraction form
    56,467/86,462 = 86,462/x
  3. Step 3: Cross multiply
    56,467x = 86,462 × 86,462
  4. Step 4: Simplify right side
    56,467x = 7,475,677,444
  5. Step 5: Solve for x
    x = 7,475,677,444/56,467
  6. Step 6: Final answer
    x = 132,390.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.