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Finding the Third Proportional to 70,008 and 103,913

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Solution

The third proportional to 70,008 and 103,913 is: 154,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,008 : 103,913 = 103,913 : x
  2. Step 2: Convert to fraction form
    70,008/103,913 = 103,913/x
  3. Step 3: Cross multiply
    70,008x = 103,913 × 103,913
  4. Step 4: Simplify right side
    70,008x = 10,797,911,569
  5. Step 5: Solve for x
    x = 10,797,911,569/70,008
  6. Step 6: Final answer
    x = 154,238.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.