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Finding the Third Proportional to 122,170.50 and 178,888.50

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Solution

The third proportional to 122,170.50 and 178,888.50 is: 261,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,170.50 : 178,888.50 = 178,888.50 : x
  2. Step 2: Convert to fraction form
    122,170.50/178,888.50 = 178,888.50/x
  3. Step 3: Cross multiply
    122,170.50x = 178,888.50 × 178,888.50
  4. Step 4: Simplify right side
    122,170.50x = 32,001,095,432.25
  5. Step 5: Solve for x
    x = 32,001,095,432.25/122,170.50
  6. Step 6: Final answer
    x = 261,937.99

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