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Finding the Third Proportional to 45,561 and 71,310

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Solution

The third proportional to 45,561 and 71,310 is: 111,611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,561 : 71,310 = 71,310 : x
  2. Step 2: Convert to fraction form
    45,561/71,310 = 71,310/x
  3. Step 3: Cross multiply
    45,561x = 71,310 × 71,310
  4. Step 4: Simplify right side
    45,561x = 5,085,116,100
  5. Step 5: Solve for x
    x = 5,085,116,100/45,561
  6. Step 6: Final answer
    x = 111,611.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.