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Finding the Third Proportional to 75,848 and 121,164

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Solution

The third proportional to 75,848 and 121,164 is: 193,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,848 : 121,164 = 121,164 : x
  2. Step 2: Convert to fraction form
    75,848/121,164 = 121,164/x
  3. Step 3: Cross multiply
    75,848x = 121,164 × 121,164
  4. Step 4: Simplify right side
    75,848x = 14,680,714,896
  5. Step 5: Solve for x
    x = 14,680,714,896/75,848
  6. Step 6: Final answer
    x = 193,554.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.