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Finding the Third Proportional to 95,193.56 and 141,750.84

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Solution

The third proportional to 95,193.56 and 141,750.84 is: 211,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,193.56 : 141,750.84 = 141,750.84 : x
  2. Step 2: Convert to fraction form
    95,193.56/141,750.84 = 141,750.84/x
  3. Step 3: Cross multiply
    95,193.56x = 141,750.84 × 141,750.84
  4. Step 4: Simplify right side
    95,193.56x = 20,093,301,703.84
  5. Step 5: Solve for x
    x = 20,093,301,703.84/95,193.56
  6. Step 6: Final answer
    x = 211,078.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.