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Finding the Third Proportional to 56,924 and 91,462

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Solution

The third proportional to 56,924 and 91,462 is: 146,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,924 : 91,462 = 91,462 : x
  2. Step 2: Convert to fraction form
    56,924/91,462 = 91,462/x
  3. Step 3: Cross multiply
    56,924x = 91,462 × 91,462
  4. Step 4: Simplify right side
    56,924x = 8,365,297,444
  5. Step 5: Solve for x
    x = 8,365,297,444/56,924
  6. Step 6: Final answer
    x = 146,955.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.