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Finding the Third Proportional to 64,117.25 and 100,577.25

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Solution

The third proportional to 64,117.25 and 100,577.25 is: 157,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,117.25 : 100,577.25 = 100,577.25 : x
  2. Step 2: Convert to fraction form
    64,117.25/100,577.25 = 100,577.25/x
  3. Step 3: Cross multiply
    64,117.25x = 100,577.25 × 100,577.25
  4. Step 4: Simplify right side
    64,117.25x = 10,115,783,217.56
  5. Step 5: Solve for x
    x = 10,115,783,217.56/64,117.25
  6. Step 6: Final answer
    x = 157,770.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.