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Finding the Third Proportional to 45,101 and 64,107

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Solution

The third proportional to 45,101 and 64,107 is: 91,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,101 : 64,107 = 64,107 : x
  2. Step 2: Convert to fraction form
    45,101/64,107 = 64,107/x
  3. Step 3: Cross multiply
    45,101x = 64,107 × 64,107
  4. Step 4: Simplify right side
    45,101x = 4,109,707,449
  5. Step 5: Solve for x
    x = 4,109,707,449/45,101
  6. Step 6: Final answer
    x = 91,122.31

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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.