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Finding the Third Proportional to 45,812 and 69,356

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Solution

The third proportional to 45,812 and 69,356 is: 104,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,812 : 69,356 = 69,356 : x
  2. Step 2: Convert to fraction form
    45,812/69,356 = 69,356/x
  3. Step 3: Cross multiply
    45,812x = 69,356 × 69,356
  4. Step 4: Simplify right side
    45,812x = 4,810,254,736
  5. Step 5: Solve for x
    x = 4,810,254,736/45,812
  6. Step 6: Final answer
    x = 104,999.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.