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Finding the Third Proportional to 88,026 and 190,083

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Solution

The third proportional to 88,026 and 190,083 is: 410,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,026 : 190,083 = 190,083 : x
  2. Step 2: Convert to fraction form
    88,026/190,083 = 190,083/x
  3. Step 3: Cross multiply
    88,026x = 190,083 × 190,083
  4. Step 4: Simplify right side
    88,026x = 36,131,546,889
  5. Step 5: Solve for x
    x = 36,131,546,889/88,026
  6. Step 6: Final answer
    x = 410,464.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.