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Finding the Third Proportional to 55,518 and 122,106

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Solution

The third proportional to 55,518 and 122,106 is: 268,559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,518 : 122,106 = 122,106 : x
  2. Step 2: Convert to fraction form
    55,518/122,106 = 122,106/x
  3. Step 3: Cross multiply
    55,518x = 122,106 × 122,106
  4. Step 4: Simplify right side
    55,518x = 14,909,875,236
  5. Step 5: Solve for x
    x = 14,909,875,236/55,518
  6. Step 6: Final answer
    x = 268,559.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.