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Finding the Third Proportional to 45,787 and 94,315

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Solution

The third proportional to 45,787 and 94,315 is: 194,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,787 : 94,315 = 94,315 : x
  2. Step 2: Convert to fraction form
    45,787/94,315 = 94,315/x
  3. Step 3: Cross multiply
    45,787x = 94,315 × 94,315
  4. Step 4: Simplify right side
    45,787x = 8,895,319,225
  5. Step 5: Solve for x
    x = 8,895,319,225/45,787
  6. Step 6: Final answer
    x = 194,276.09

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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.