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Finding the Third Proportional to 45,103 and 64,110

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Solution

The third proportional to 45,103 and 64,110 is: 91,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,103 : 64,110 = 64,110 : x
  2. Step 2: Convert to fraction form
    45,103/64,110 = 64,110/x
  3. Step 3: Cross multiply
    45,103x = 64,110 × 64,110
  4. Step 4: Simplify right side
    45,103x = 4,110,092,100
  5. Step 5: Solve for x
    x = 4,110,092,100/45,103
  6. Step 6: Final answer
    x = 91,126.80

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