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Finding the Third Proportional to 44,241.75 and 95,492.25

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Solution

The third proportional to 44,241.75 and 95,492.25 is: 206,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,241.75 : 95,492.25 = 95,492.25 : x
  2. Step 2: Convert to fraction form
    44,241.75/95,492.25 = 95,492.25/x
  3. Step 3: Cross multiply
    44,241.75x = 95,492.25 × 95,492.25
  4. Step 4: Simplify right side
    44,241.75x = 9,118,769,810.06
  5. Step 5: Solve for x
    x = 9,118,769,810.06/44,241.75
  6. Step 6: Final answer
    x = 206,112.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.