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Finding the Third Proportional to 45,402.75 and 95,762.25

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Solution

The third proportional to 45,402.75 and 95,762.25 is: 201,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402.75 : 95,762.25 = 95,762.25 : x
  2. Step 2: Convert to fraction form
    45,402.75/95,762.25 = 95,762.25/x
  3. Step 3: Cross multiply
    45,402.75x = 95,762.25 × 95,762.25
  4. Step 4: Simplify right side
    45,402.75x = 9,170,408,525.06
  5. Step 5: Solve for x
    x = 9,170,408,525.06/45,402.75
  6. Step 6: Final answer
    x = 201,979.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.