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Finding the Third Proportional to 121,845.75 and 293,534.25

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Solution

The third proportional to 121,845.75 and 293,534.25 is: 707,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,845.75 : 293,534.25 = 293,534.25 : x
  2. Step 2: Convert to fraction form
    121,845.75/293,534.25 = 293,534.25/x
  3. Step 3: Cross multiply
    121,845.75x = 293,534.25 × 293,534.25
  4. Step 4: Simplify right side
    121,845.75x = 86,162,355,923.06
  5. Step 5: Solve for x
    x = 86,162,355,923.06/121,845.75
  6. Step 6: Final answer
    x = 707,142.89

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.