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Finding the Third Proportional to 82,791 and 163,071

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Solution

The third proportional to 82,791 and 163,071 is: 321,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,791 : 163,071 = 163,071 : x
  2. Step 2: Convert to fraction form
    82,791/163,071 = 163,071/x
  3. Step 3: Cross multiply
    82,791x = 163,071 × 163,071
  4. Step 4: Simplify right side
    82,791x = 26,592,151,041
  5. Step 5: Solve for x
    x = 26,592,151,041/82,791
  6. Step 6: Final answer
    x = 321,196.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.