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Finding the Third Proportional to 56,575 and 117,843

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Solution

The third proportional to 56,575 and 117,843 is: 245,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,575 : 117,843 = 117,843 : x
  2. Step 2: Convert to fraction form
    56,575/117,843 = 117,843/x
  3. Step 3: Cross multiply
    56,575x = 117,843 × 117,843
  4. Step 4: Simplify right side
    56,575x = 13,886,972,649
  5. Step 5: Solve for x
    x = 13,886,972,649/56,575
  6. Step 6: Final answer
    x = 245,461.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.