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Finding the Third Proportional to 75,425 and 111,833

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Solution

The third proportional to 75,425 and 111,833 is: 165,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,425 : 111,833 = 111,833 : x
  2. Step 2: Convert to fraction form
    75,425/111,833 = 111,833/x
  3. Step 3: Cross multiply
    75,425x = 111,833 × 111,833
  4. Step 4: Simplify right side
    75,425x = 12,506,619,889
  5. Step 5: Solve for x
    x = 12,506,619,889/75,425
  6. Step 6: Final answer
    x = 165,815.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.