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Finding the Third Proportional to 45,754 and 71,303

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Solution

The third proportional to 45,754 and 71,303 is: 111,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,754 : 71,303 = 71,303 : x
  2. Step 2: Convert to fraction form
    45,754/71,303 = 71,303/x
  3. Step 3: Cross multiply
    45,754x = 71,303 × 71,303
  4. Step 4: Simplify right side
    45,754x = 5,084,117,809
  5. Step 5: Solve for x
    x = 5,084,117,809/45,754
  6. Step 6: Final answer
    x = 111,118.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.