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Finding the Third Proportional to 40,146 and 84,813

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Solution

The third proportional to 40,146 and 84,813 is: 179,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,146 : 84,813 = 84,813 : x
  2. Step 2: Convert to fraction form
    40,146/84,813 = 84,813/x
  3. Step 3: Cross multiply
    40,146x = 84,813 × 84,813
  4. Step 4: Simplify right side
    40,146x = 7,193,244,969
  5. Step 5: Solve for x
    x = 7,193,244,969/40,146
  6. Step 6: Final answer
    x = 179,177.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.