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Finding the Third Proportional to 45,052 and 92,960

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Solution

The third proportional to 45,052 and 92,960 is: 191,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,052 : 92,960 = 92,960 : x
  2. Step 2: Convert to fraction form
    45,052/92,960 = 92,960/x
  3. Step 3: Cross multiply
    45,052x = 92,960 × 92,960
  4. Step 4: Simplify right side
    45,052x = 8,641,561,600
  5. Step 5: Solve for x
    x = 8,641,561,600/45,052
  6. Step 6: Final answer
    x = 191,813.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.