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Finding the Third Proportional to 50,528 and 109,904

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Solution

The third proportional to 50,528 and 109,904 is: 239,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,528 : 109,904 = 109,904 : x
  2. Step 2: Convert to fraction form
    50,528/109,904 = 109,904/x
  3. Step 3: Cross multiply
    50,528x = 109,904 × 109,904
  4. Step 4: Simplify right side
    50,528x = 12,078,889,216
  5. Step 5: Solve for x
    x = 12,078,889,216/50,528
  6. Step 6: Final answer
    x = 239,053.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.