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Finding the Third Proportional to 56,043 and 117,279

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Solution

The third proportional to 56,043 and 117,279 is: 245,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,043 : 117,279 = 117,279 : x
  2. Step 2: Convert to fraction form
    56,043/117,279 = 117,279/x
  3. Step 3: Cross multiply
    56,043x = 117,279 × 117,279
  4. Step 4: Simplify right side
    56,043x = 13,754,363,841
  5. Step 5: Solve for x
    x = 13,754,363,841/56,043
  6. Step 6: Final answer
    x = 245,425.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.