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Finding the Third Proportional to 94,142.25 and 131,675.63

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Solution

The third proportional to 94,142.25 and 131,675.63 is: 184,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,142.25 : 131,675.63 = 131,675.63 : x
  2. Step 2: Convert to fraction form
    94,142.25/131,675.63 = 131,675.63/x
  3. Step 3: Cross multiply
    94,142.25x = 131,675.63 × 131,675.63
  4. Step 4: Simplify right side
    94,142.25x = 17,338,470,219.14
  5. Step 5: Solve for x
    x = 17,338,470,219.14/94,142.25
  6. Step 6: Final answer
    x = 184,173.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.