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Finding the Third Proportional to 83,889 and 127,055.25

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Solution

The third proportional to 83,889 and 127,055.25 is: 192,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,889 : 127,055.25 = 127,055.25 : x
  2. Step 2: Convert to fraction form
    83,889/127,055.25 = 127,055.25/x
  3. Step 3: Cross multiply
    83,889x = 127,055.25 × 127,055.25
  4. Step 4: Simplify right side
    83,889x = 16,143,036,552.56
  5. Step 5: Solve for x
    x = 16,143,036,552.56/83,889
  6. Step 6: Final answer
    x = 192,433.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.