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Finding the Third Proportional to 64,422 and 93,831

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Solution

The third proportional to 64,422 and 93,831 is: 136,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,422 : 93,831 = 93,831 : x
  2. Step 2: Convert to fraction form
    64,422/93,831 = 93,831/x
  3. Step 3: Cross multiply
    64,422x = 93,831 × 93,831
  4. Step 4: Simplify right side
    64,422x = 8,804,256,561
  5. Step 5: Solve for x
    x = 8,804,256,561/64,422
  6. Step 6: Final answer
    x = 136,665.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.