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Finding the Third Proportional to 82,062 and 193,609

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Solution

The third proportional to 82,062 and 193,609 is: 456,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,062 : 193,609 = 193,609 : x
  2. Step 2: Convert to fraction form
    82,062/193,609 = 193,609/x
  3. Step 3: Cross multiply
    82,062x = 193,609 × 193,609
  4. Step 4: Simplify right side
    82,062x = 37,484,444,881
  5. Step 5: Solve for x
    x = 37,484,444,881/82,062
  6. Step 6: Final answer
    x = 456,782.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.