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Finding the Third Proportional to 63,714 and 98,015

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Solution

The third proportional to 63,714 and 98,015 is: 150,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,714 : 98,015 = 98,015 : x
  2. Step 2: Convert to fraction form
    63,714/98,015 = 98,015/x
  3. Step 3: Cross multiply
    63,714x = 98,015 × 98,015
  4. Step 4: Simplify right side
    63,714x = 9,606,940,225
  5. Step 5: Solve for x
    x = 9,606,940,225/63,714
  6. Step 6: Final answer
    x = 150,782.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.