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Finding the Third Proportional to 98,032 and 146,653

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Solution

The third proportional to 98,032 and 146,653 is: 219,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,032 : 146,653 = 146,653 : x
  2. Step 2: Convert to fraction form
    98,032/146,653 = 146,653/x
  3. Step 3: Cross multiply
    98,032x = 146,653 × 146,653
  4. Step 4: Simplify right side
    98,032x = 21,507,102,409
  5. Step 5: Solve for x
    x = 21,507,102,409/98,032
  6. Step 6: Final answer
    x = 219,388.59

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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.