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Finding the Third Proportional to 68,690 and 98,043

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Solution

The third proportional to 68,690 and 98,043 is: 139,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,690 : 98,043 = 98,043 : x
  2. Step 2: Convert to fraction form
    68,690/98,043 = 98,043/x
  3. Step 3: Cross multiply
    68,690x = 98,043 × 98,043
  4. Step 4: Simplify right side
    68,690x = 9,612,429,849
  5. Step 5: Solve for x
    x = 9,612,429,849/68,690
  6. Step 6: Final answer
    x = 139,939.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.