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Finding the Third Proportional to 51,094.13 and 112,029.75

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Solution

The third proportional to 51,094.13 and 112,029.75 is: 245,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,094.13 : 112,029.75 = 112,029.75 : x
  2. Step 2: Convert to fraction form
    51,094.13/112,029.75 = 112,029.75/x
  3. Step 3: Cross multiply
    51,094.13x = 112,029.75 × 112,029.75
  4. Step 4: Simplify right side
    51,094.13x = 12,550,664,885.06
  5. Step 5: Solve for x
    x = 12,550,664,885.06/51,094.13
  6. Step 6: Final answer
    x = 245,638.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.