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Finding the Third Proportional to 91,953.75 and 140,603.63

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Solution

The third proportional to 91,953.75 and 140,603.63 is: 214,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,953.75 : 140,603.63 = 140,603.63 : x
  2. Step 2: Convert to fraction form
    91,953.75/140,603.63 = 140,603.63/x
  3. Step 3: Cross multiply
    91,953.75x = 140,603.63 × 140,603.63
  4. Step 4: Simplify right side
    91,953.75x = 19,769,379,363.14
  5. Step 5: Solve for x
    x = 19,769,379,363.14/91,953.75
  6. Step 6: Final answer
    x = 214,992.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.