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Finding the Third Proportional to 110,836.69 and 175,533

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Solution

The third proportional to 110,836.69 and 175,533 is: 277,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,836.69 : 175,533 = 175,533 : x
  2. Step 2: Convert to fraction form
    110,836.69/175,533 = 175,533/x
  3. Step 3: Cross multiply
    110,836.69x = 175,533 × 175,533
  4. Step 4: Simplify right side
    110,836.69x = 30,811,834,089
  5. Step 5: Solve for x
    x = 30,811,834,089/110,836.69
  6. Step 6: Final answer
    x = 277,993.10

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.