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Finding the Third Proportional to 65,886 and 96,021

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Solution

The third proportional to 65,886 and 96,021 is: 139,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,886 : 96,021 = 96,021 : x
  2. Step 2: Convert to fraction form
    65,886/96,021 = 96,021/x
  3. Step 3: Cross multiply
    65,886x = 96,021 × 96,021
  4. Step 4: Simplify right side
    65,886x = 9,220,032,441
  5. Step 5: Solve for x
    x = 9,220,032,441/65,886
  6. Step 6: Final answer
    x = 139,939.17

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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.