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Finding the Third Proportional to 94,992.75 and 120,345.75

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Solution

The third proportional to 94,992.75 and 120,345.75 is: 152,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,992.75 : 120,345.75 = 120,345.75 : x
  2. Step 2: Convert to fraction form
    94,992.75/120,345.75 = 120,345.75/x
  3. Step 3: Cross multiply
    94,992.75x = 120,345.75 × 120,345.75
  4. Step 4: Simplify right side
    94,992.75x = 14,483,099,543.06
  5. Step 5: Solve for x
    x = 14,483,099,543.06/94,992.75
  6. Step 6: Final answer
    x = 152,465.31

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.