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Finding the Third Proportional to 110,235 and 161,102

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Solution

The third proportional to 110,235 and 161,102 is: 235,441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,235 : 161,102 = 161,102 : x
  2. Step 2: Convert to fraction form
    110,235/161,102 = 161,102/x
  3. Step 3: Cross multiply
    110,235x = 161,102 × 161,102
  4. Step 4: Simplify right side
    110,235x = 25,953,854,404
  5. Step 5: Solve for x
    x = 25,953,854,404/110,235
  6. Step 6: Final answer
    x = 235,441.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.