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Finding the Third Proportional to 68,714 and 98,030

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Solution

The third proportional to 68,714 and 98,030 is: 139,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,714 : 98,030 = 98,030 : x
  2. Step 2: Convert to fraction form
    68,714/98,030 = 98,030/x
  3. Step 3: Cross multiply
    68,714x = 98,030 × 98,030
  4. Step 4: Simplify right side
    68,714x = 9,609,880,900
  5. Step 5: Solve for x
    x = 9,609,880,900/68,714
  6. Step 6: Final answer
    x = 139,853.32

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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.