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Finding the Third Proportional to 45,567 and 92,403

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Solution

The third proportional to 45,567 and 92,403 is: 187,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,567 : 92,403 = 92,403 : x
  2. Step 2: Convert to fraction form
    45,567/92,403 = 92,403/x
  3. Step 3: Cross multiply
    45,567x = 92,403 × 92,403
  4. Step 4: Simplify right side
    45,567x = 8,538,314,409
  5. Step 5: Solve for x
    x = 8,538,314,409/45,567
  6. Step 6: Final answer
    x = 187,379.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.