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Finding the Third Proportional to 75,890 and 114,080

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Solution

The third proportional to 75,890 and 114,080 is: 171,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,890 : 114,080 = 114,080 : x
  2. Step 2: Convert to fraction form
    75,890/114,080 = 114,080/x
  3. Step 3: Cross multiply
    75,890x = 114,080 × 114,080
  4. Step 4: Simplify right side
    75,890x = 13,014,246,400
  5. Step 5: Solve for x
    x = 13,014,246,400/75,890
  6. Step 6: Final answer
    x = 171,488.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.