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Finding the Third Proportional to 122,346 and 179,091

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Solution

The third proportional to 122,346 and 179,091 is: 262,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,346 : 179,091 = 179,091 : x
  2. Step 2: Convert to fraction form
    122,346/179,091 = 179,091/x
  3. Step 3: Cross multiply
    122,346x = 179,091 × 179,091
  4. Step 4: Simplify right side
    122,346x = 32,073,586,281
  5. Step 5: Solve for x
    x = 32,073,586,281/122,346
  6. Step 6: Final answer
    x = 262,154.76

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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.