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Finding the Third Proportional to 51,848.50 and 113,077.50

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Solution

The third proportional to 51,848.50 and 113,077.50 is: 246,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,848.50 : 113,077.50 = 113,077.50 : x
  2. Step 2: Convert to fraction form
    51,848.50/113,077.50 = 113,077.50/x
  3. Step 3: Cross multiply
    51,848.50x = 113,077.50 × 113,077.50
  4. Step 4: Simplify right side
    51,848.50x = 12,786,521,006.25
  5. Step 5: Solve for x
    x = 12,786,521,006.25/51,848.50
  6. Step 6: Final answer
    x = 246,613.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.