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Finding the Third Proportional to 51,815.50 and 110,981.50

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Solution

The third proportional to 51,815.50 and 110,981.50 is: 237,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,815.50 : 110,981.50 = 110,981.50 : x
  2. Step 2: Convert to fraction form
    51,815.50/110,981.50 = 110,981.50/x
  3. Step 3: Cross multiply
    51,815.50x = 110,981.50 × 110,981.50
  4. Step 4: Simplify right side
    51,815.50x = 12,316,893,342.25
  5. Step 5: Solve for x
    x = 12,316,893,342.25/51,815.50
  6. Step 6: Final answer
    x = 237,706.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.