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Finding the Third Proportional to 64,296 and 98,297

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Solution

The third proportional to 64,296 and 98,297 is: 150,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,296 : 98,297 = 98,297 : x
  2. Step 2: Convert to fraction form
    64,296/98,297 = 98,297/x
  3. Step 3: Cross multiply
    64,296x = 98,297 × 98,297
  4. Step 4: Simplify right side
    64,296x = 9,662,300,209
  5. Step 5: Solve for x
    x = 9,662,300,209/64,296
  6. Step 6: Final answer
    x = 150,278.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.