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Finding the Third Proportional to 41,316 and 84,810

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Solution

The third proportional to 41,316 and 84,810 is: 174,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,316 : 84,810 = 84,810 : x
  2. Step 2: Convert to fraction form
    41,316/84,810 = 84,810/x
  3. Step 3: Cross multiply
    41,316x = 84,810 × 84,810
  4. Step 4: Simplify right side
    41,316x = 7,192,736,100
  5. Step 5: Solve for x
    x = 7,192,736,100/41,316
  6. Step 6: Final answer
    x = 174,090.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.