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Finding the Third Proportional to 97,009 and 145,873

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Solution

The third proportional to 97,009 and 145,873 is: 219,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,009 : 145,873 = 145,873 : x
  2. Step 2: Convert to fraction form
    97,009/145,873 = 145,873/x
  3. Step 3: Cross multiply
    97,009x = 145,873 × 145,873
  4. Step 4: Simplify right side
    97,009x = 21,278,932,129
  5. Step 5: Solve for x
    x = 21,278,932,129/97,009
  6. Step 6: Final answer
    x = 219,350.08

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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.