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Finding the Third Proportional to 110,699 and 175,011

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Solution

The third proportional to 110,699 and 175,011 is: 276,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,699 : 175,011 = 175,011 : x
  2. Step 2: Convert to fraction form
    110,699/175,011 = 175,011/x
  3. Step 3: Cross multiply
    110,699x = 175,011 × 175,011
  4. Step 4: Simplify right side
    110,699x = 30,628,850,121
  5. Step 5: Solve for x
    x = 30,628,850,121/110,699
  6. Step 6: Final answer
    x = 276,685.88

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Why These Related Problems?

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