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Finding the Third Proportional to 92,260 and 117,889

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Solution

The third proportional to 92,260 and 117,889 is: 150,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,260 : 117,889 = 117,889 : x
  2. Step 2: Convert to fraction form
    92,260/117,889 = 117,889/x
  3. Step 3: Cross multiply
    92,260x = 117,889 × 117,889
  4. Step 4: Simplify right side
    92,260x = 13,897,816,321
  5. Step 5: Solve for x
    x = 13,897,816,321/92,260
  6. Step 6: Final answer
    x = 150,637.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.