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Finding the Third Proportional to 45,780 and 94,497

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Solution

The third proportional to 45,780 and 94,497 is: 195,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,780 : 94,497 = 94,497 : x
  2. Step 2: Convert to fraction form
    45,780/94,497 = 94,497/x
  3. Step 3: Cross multiply
    45,780x = 94,497 × 94,497
  4. Step 4: Simplify right side
    45,780x = 8,929,683,009
  5. Step 5: Solve for x
    x = 8,929,683,009/45,780
  6. Step 6: Final answer
    x = 195,056.42

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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.