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Finding the Third Proportional to 122,084.72 and 253,524.94

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Solution

The third proportional to 122,084.72 and 253,524.94 is: 526,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,084.72 : 253,524.94 = 253,524.94 : x
  2. Step 2: Convert to fraction form
    122,084.72/253,524.94 = 253,524.94/x
  3. Step 3: Cross multiply
    122,084.72x = 253,524.94 × 253,524.94
  4. Step 4: Simplify right side
    122,084.72x = 64,274,893,934.38
  5. Step 5: Solve for x
    x = 64,274,893,934.38/122,084.72
  6. Step 6: Final answer
    x = 526,477.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.