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Finding the Third Proportional to 63,380 and 98,094

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Solution

The third proportional to 63,380 and 98,094 is: 151,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,380 : 98,094 = 98,094 : x
  2. Step 2: Convert to fraction form
    63,380/98,094 = 98,094/x
  3. Step 3: Cross multiply
    63,380x = 98,094 × 98,094
  4. Step 4: Simplify right side
    63,380x = 9,622,432,836
  5. Step 5: Solve for x
    x = 9,622,432,836/63,380
  6. Step 6: Final answer
    x = 151,821.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.