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Finding the Third Proportional to 51,528 and 109,806

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Solution

The third proportional to 51,528 and 109,806 is: 233,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,528 : 109,806 = 109,806 : x
  2. Step 2: Convert to fraction form
    51,528/109,806 = 109,806/x
  3. Step 3: Cross multiply
    51,528x = 109,806 × 109,806
  4. Step 4: Simplify right side
    51,528x = 12,057,357,636
  5. Step 5: Solve for x
    x = 12,057,357,636/51,528
  6. Step 6: Final answer
    x = 233,996.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.