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Finding the Third Proportional to 45,902 and 97,318

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Solution

The third proportional to 45,902 and 97,318 is: 206,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,902 : 97,318 = 97,318 : x
  2. Step 2: Convert to fraction form
    45,902/97,318 = 97,318/x
  3. Step 3: Cross multiply
    45,902x = 97,318 × 97,318
  4. Step 4: Simplify right side
    45,902x = 9,470,793,124
  5. Step 5: Solve for x
    x = 9,470,793,124/45,902
  6. Step 6: Final answer
    x = 206,326.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.