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Finding the Third Proportional to 64,534 and 96,827

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Solution

The third proportional to 64,534 and 96,827 is: 145,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,534 : 96,827 = 96,827 : x
  2. Step 2: Convert to fraction form
    64,534/96,827 = 96,827/x
  3. Step 3: Cross multiply
    64,534x = 96,827 × 96,827
  4. Step 4: Simplify right side
    64,534x = 9,375,467,929
  5. Step 5: Solve for x
    x = 9,375,467,929/64,534
  6. Step 6: Final answer
    x = 145,279.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.