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Finding the Third Proportional to 65,459.44 and 100,091.44

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Solution

The third proportional to 65,459.44 and 100,091.44 is: 153,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,459.44 : 100,091.44 = 100,091.44 : x
  2. Step 2: Convert to fraction form
    65,459.44/100,091.44 = 100,091.44/x
  3. Step 3: Cross multiply
    65,459.44x = 100,091.44 × 100,091.44
  4. Step 4: Simplify right side
    65,459.44x = 10,018,295,860.82
  5. Step 5: Solve for x
    x = 10,018,295,860.82/65,459.44
  6. Step 6: Final answer
    x = 153,045.86

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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.