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Finding the Third Proportional to 45,932 and 101,731

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Solution

The third proportional to 45,932 and 101,731 is: 225,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,932 : 101,731 = 101,731 : x
  2. Step 2: Convert to fraction form
    45,932/101,731 = 101,731/x
  3. Step 3: Cross multiply
    45,932x = 101,731 × 101,731
  4. Step 4: Simplify right side
    45,932x = 10,349,196,361
  5. Step 5: Solve for x
    x = 10,349,196,361/45,932
  6. Step 6: Final answer
    x = 225,315.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.