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Finding the Third Proportional to 61,124.06 and 128,885.63

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Solution

The third proportional to 61,124.06 and 128,885.63 is: 271,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,124.06 : 128,885.63 = 128,885.63 : x
  2. Step 2: Convert to fraction form
    61,124.06/128,885.63 = 128,885.63/x
  3. Step 3: Cross multiply
    61,124.06x = 128,885.63 × 128,885.63
  4. Step 4: Simplify right side
    61,124.06x = 16,611,504,331.64
  5. Step 5: Solve for x
    x = 16,611,504,331.64/61,124.06
  6. Step 6: Final answer
    x = 271,767.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.