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Finding the Third Proportional to 109,504 and 143,784

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Solution

The third proportional to 109,504 and 143,784 is: 188,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,504 : 143,784 = 143,784 : x
  2. Step 2: Convert to fraction form
    109,504/143,784 = 143,784/x
  3. Step 3: Cross multiply
    109,504x = 143,784 × 143,784
  4. Step 4: Simplify right side
    109,504x = 20,673,838,656
  5. Step 5: Solve for x
    x = 20,673,838,656/109,504
  6. Step 6: Final answer
    x = 188,795.28

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.