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Finding the Third Proportional to 70,784 and 103,254

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Solution

The third proportional to 70,784 and 103,254 is: 150,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,784 : 103,254 = 103,254 : x
  2. Step 2: Convert to fraction form
    70,784/103,254 = 103,254/x
  3. Step 3: Cross multiply
    70,784x = 103,254 × 103,254
  4. Step 4: Simplify right side
    70,784x = 10,661,388,516
  5. Step 5: Solve for x
    x = 10,661,388,516/70,784
  6. Step 6: Final answer
    x = 150,618.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.