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Finding the Third Proportional to 45,007 and 71,175

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Solution

The third proportional to 45,007 and 71,175 is: 112,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,007 : 71,175 = 71,175 : x
  2. Step 2: Convert to fraction form
    45,007/71,175 = 71,175/x
  3. Step 3: Cross multiply
    45,007x = 71,175 × 71,175
  4. Step 4: Simplify right side
    45,007x = 5,065,880,625
  5. Step 5: Solve for x
    x = 5,065,880,625/45,007
  6. Step 6: Final answer
    x = 112,557.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.