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Finding the Third Proportional to 45,105 and 64,113

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Solution

The third proportional to 45,105 and 64,113 is: 91,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,105 : 64,113 = 64,113 : x
  2. Step 2: Convert to fraction form
    45,105/64,113 = 64,113/x
  3. Step 3: Cross multiply
    45,105x = 64,113 × 64,113
  4. Step 4: Simplify right side
    45,105x = 4,110,476,769
  5. Step 5: Solve for x
    x = 4,110,476,769/45,105
  6. Step 6: Final answer
    x = 91,131.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.