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Finding the Third Proportional to 65,194 and 107,871

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Solution

The third proportional to 65,194 and 107,871 is: 178,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194 : 107,871 = 107,871 : x
  2. Step 2: Convert to fraction form
    65,194/107,871 = 107,871/x
  3. Step 3: Cross multiply
    65,194x = 107,871 × 107,871
  4. Step 4: Simplify right side
    65,194x = 11,636,152,641
  5. Step 5: Solve for x
    x = 11,636,152,641/65,194
  6. Step 6: Final answer
    x = 178,485.02

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.