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Finding the Third Proportional to 51,883.50 and 112,029

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Solution

The third proportional to 51,883.50 and 112,029 is: 241,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.50 : 112,029 = 112,029 : x
  2. Step 2: Convert to fraction form
    51,883.50/112,029 = 112,029/x
  3. Step 3: Cross multiply
    51,883.50x = 112,029 × 112,029
  4. Step 4: Simplify right side
    51,883.50x = 12,550,496,841
  5. Step 5: Solve for x
    x = 12,550,496,841/51,883.50
  6. Step 6: Final answer
    x = 241,897.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.