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Finding the Third Proportional to 97,714 and 146,804

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Solution

The third proportional to 97,714 and 146,804 is: 220,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714 : 146,804 = 146,804 : x
  2. Step 2: Convert to fraction form
    97,714/146,804 = 146,804/x
  3. Step 3: Cross multiply
    97,714x = 146,804 × 146,804
  4. Step 4: Simplify right side
    97,714x = 21,551,414,416
  5. Step 5: Solve for x
    x = 21,551,414,416/97,714
  6. Step 6: Final answer
    x = 220,556.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.