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Finding the Third Proportional to 68,089 and 98,222

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Solution

The third proportional to 68,089 and 98,222 is: 141,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,089 : 98,222 = 98,222 : x
  2. Step 2: Convert to fraction form
    68,089/98,222 = 98,222/x
  3. Step 3: Cross multiply
    68,089x = 98,222 × 98,222
  4. Step 4: Simplify right side
    68,089x = 9,647,561,284
  5. Step 5: Solve for x
    x = 9,647,561,284/68,089
  6. Step 6: Final answer
    x = 141,690.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.