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Finding the Third Proportional to 70,969 and 154,537.75

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Solution

The third proportional to 70,969 and 154,537.75 is: 336,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,969 : 154,537.75 = 154,537.75 : x
  2. Step 2: Convert to fraction form
    70,969/154,537.75 = 154,537.75/x
  3. Step 3: Cross multiply
    70,969x = 154,537.75 × 154,537.75
  4. Step 4: Simplify right side
    70,969x = 23,881,916,175.06
  5. Step 5: Solve for x
    x = 23,881,916,175.06/70,969
  6. Step 6: Final answer
    x = 336,511.94

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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.