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Finding the Third Proportional to 122,956.50 and 253,579.50

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Solution

The third proportional to 122,956.50 and 253,579.50 is: 522,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,956.50 : 253,579.50 = 253,579.50 : x
  2. Step 2: Convert to fraction form
    122,956.50/253,579.50 = 253,579.50/x
  3. Step 3: Cross multiply
    122,956.50x = 253,579.50 × 253,579.50
  4. Step 4: Simplify right side
    122,956.50x = 64,302,562,820.25
  5. Step 5: Solve for x
    x = 64,302,562,820.25/122,956.50
  6. Step 6: Final answer
    x = 522,970.02

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.