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Finding the Third Proportional to 45,762 and 93,755

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Solution

The third proportional to 45,762 and 93,755 is: 192,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,762 : 93,755 = 93,755 : x
  2. Step 2: Convert to fraction form
    45,762/93,755 = 93,755/x
  3. Step 3: Cross multiply
    45,762x = 93,755 × 93,755
  4. Step 4: Simplify right side
    45,762x = 8,790,000,025
  5. Step 5: Solve for x
    x = 8,790,000,025/45,762
  6. Step 6: Final answer
    x = 192,080.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.