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Finding the Third Proportional to 45,234 and 94,596

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Solution

The third proportional to 45,234 and 94,596 is: 197,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234 : 94,596 = 94,596 : x
  2. Step 2: Convert to fraction form
    45,234/94,596 = 94,596/x
  3. Step 3: Cross multiply
    45,234x = 94,596 × 94,596
  4. Step 4: Simplify right side
    45,234x = 8,948,403,216
  5. Step 5: Solve for x
    x = 8,948,403,216/45,234
  6. Step 6: Final answer
    x = 197,824.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.