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Finding the Third Proportional to 71,012.63 and 154,736.25

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Solution

The third proportional to 71,012.63 and 154,736.25 is: 337,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,012.63 : 154,736.25 = 154,736.25 : x
  2. Step 2: Convert to fraction form
    71,012.63/154,736.25 = 154,736.25/x
  3. Step 3: Cross multiply
    71,012.63x = 154,736.25 × 154,736.25
  4. Step 4: Simplify right side
    71,012.63x = 23,943,307,064.06
  5. Step 5: Solve for x
    x = 23,943,307,064.06/71,012.63
  6. Step 6: Final answer
    x = 337,169.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.