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Finding the Third Proportional to 37,066 and 81,053

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Solution

The third proportional to 37,066 and 81,053 is: 177,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,066 : 81,053 = 81,053 : x
  2. Step 2: Convert to fraction form
    37,066/81,053 = 81,053/x
  3. Step 3: Cross multiply
    37,066x = 81,053 × 81,053
  4. Step 4: Simplify right side
    37,066x = 6,569,588,809
  5. Step 5: Solve for x
    x = 6,569,588,809/37,066
  6. Step 6: Final answer
    x = 177,240.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.