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Finding the Third Proportional to 70,453 and 110,004

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Solution

The third proportional to 70,453 and 110,004 is: 171,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,453 : 110,004 = 110,004 : x
  2. Step 2: Convert to fraction form
    70,453/110,004 = 110,004/x
  3. Step 3: Cross multiply
    70,453x = 110,004 × 110,004
  4. Step 4: Simplify right side
    70,453x = 12,100,880,016
  5. Step 5: Solve for x
    x = 12,100,880,016/70,453
  6. Step 6: Final answer
    x = 171,758.19

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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.