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Finding the Third Proportional to 45,052 and 64,895

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Solution

The third proportional to 45,052 and 64,895 is: 93,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,052 : 64,895 = 64,895 : x
  2. Step 2: Convert to fraction form
    45,052/64,895 = 64,895/x
  3. Step 3: Cross multiply
    45,052x = 64,895 × 64,895
  4. Step 4: Simplify right side
    45,052x = 4,211,361,025
  5. Step 5: Solve for x
    x = 4,211,361,025/45,052
  6. Step 6: Final answer
    x = 93,477.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.