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Finding the Third Proportional to 45,322 and 84,932

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Solution

The third proportional to 45,322 and 84,932 is: 159,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,322 : 84,932 = 84,932 : x
  2. Step 2: Convert to fraction form
    45,322/84,932 = 84,932/x
  3. Step 3: Cross multiply
    45,322x = 84,932 × 84,932
  4. Step 4: Simplify right side
    45,322x = 7,213,444,624
  5. Step 5: Solve for x
    x = 7,213,444,624/45,322
  6. Step 6: Final answer
    x = 159,159.89

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.