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Finding the Third Proportional to 75,889 and 117,256

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Solution

The third proportional to 75,889 and 117,256 is: 181,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889 : 117,256 = 117,256 : x
  2. Step 2: Convert to fraction form
    75,889/117,256 = 117,256/x
  3. Step 3: Cross multiply
    75,889x = 117,256 × 117,256
  4. Step 4: Simplify right side
    75,889x = 13,748,969,536
  5. Step 5: Solve for x
    x = 13,748,969,536/75,889
  6. Step 6: Final answer
    x = 181,172.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.