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Finding the Third Proportional to 56,205 and 117,603

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Solution

The third proportional to 56,205 and 117,603 is: 246,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,205 : 117,603 = 117,603 : x
  2. Step 2: Convert to fraction form
    56,205/117,603 = 117,603/x
  3. Step 3: Cross multiply
    56,205x = 117,603 × 117,603
  4. Step 4: Simplify right side
    56,205x = 13,830,465,609
  5. Step 5: Solve for x
    x = 13,830,465,609/56,205
  6. Step 6: Final answer
    x = 246,071.80

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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.