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Finding the Third Proportional to 103,808 and 147,934

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Solution

The third proportional to 103,808 and 147,934 is: 210,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,808 : 147,934 = 147,934 : x
  2. Step 2: Convert to fraction form
    103,808/147,934 = 147,934/x
  3. Step 3: Cross multiply
    103,808x = 147,934 × 147,934
  4. Step 4: Simplify right side
    103,808x = 21,884,468,356
  5. Step 5: Solve for x
    x = 21,884,468,356/103,808
  6. Step 6: Final answer
    x = 210,816.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.