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Finding the Third Proportional to 43,770 and 93,012

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Solution

The third proportional to 43,770 and 93,012 is: 197,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,770 : 93,012 = 93,012 : x
  2. Step 2: Convert to fraction form
    43,770/93,012 = 93,012/x
  3. Step 3: Cross multiply
    43,770x = 93,012 × 93,012
  4. Step 4: Simplify right side
    43,770x = 8,651,232,144
  5. Step 5: Solve for x
    x = 8,651,232,144/43,770
  6. Step 6: Final answer
    x = 197,652.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.