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Finding the Third Proportional to 135,032.06 and 196,997.06

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Solution

The third proportional to 135,032.06 and 196,997.06 is: 287,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,032.06 : 196,997.06 = 196,997.06 : x
  2. Step 2: Convert to fraction form
    135,032.06/196,997.06 = 196,997.06/x
  3. Step 3: Cross multiply
    135,032.06x = 196,997.06 × 196,997.06
  4. Step 4: Simplify right side
    135,032.06x = 38,807,842,633.63
  5. Step 5: Solve for x
    x = 38,807,842,633.63/135,032.06
  6. Step 6: Final answer
    x = 287,397.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.