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Finding the Third Proportional to 65,296 and 96,984

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Solution

The third proportional to 65,296 and 96,984 is: 144,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,296 : 96,984 = 96,984 : x
  2. Step 2: Convert to fraction form
    65,296/96,984 = 96,984/x
  3. Step 3: Cross multiply
    65,296x = 96,984 × 96,984
  4. Step 4: Simplify right side
    65,296x = 9,405,896,256
  5. Step 5: Solve for x
    x = 9,405,896,256/65,296
  6. Step 6: Final answer
    x = 144,050.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.