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Finding the Third Proportional to 97,044.75 and 133,633.13

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Solution

The third proportional to 97,044.75 and 133,633.13 is: 184,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,044.75 : 133,633.13 = 133,633.13 : x
  2. Step 2: Convert to fraction form
    97,044.75/133,633.13 = 133,633.13/x
  3. Step 3: Cross multiply
    97,044.75x = 133,633.13 × 133,633.13
  4. Step 4: Simplify right side
    97,044.75x = 17,857,812,097.27
  5. Step 5: Solve for x
    x = 17,857,812,097.27/97,044.75
  6. Step 6: Final answer
    x = 184,016.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.