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Finding the Third Proportional to 51,810.50 and 110,971

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Solution

The third proportional to 51,810.50 and 110,971 is: 237,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810.50 : 110,971 = 110,971 : x
  2. Step 2: Convert to fraction form
    51,810.50/110,971 = 110,971/x
  3. Step 3: Cross multiply
    51,810.50x = 110,971 × 110,971
  4. Step 4: Simplify right side
    51,810.50x = 12,314,562,841
  5. Step 5: Solve for x
    x = 12,314,562,841/51,810.50
  6. Step 6: Final answer
    x = 237,684.69

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Why These Related Problems?

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