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Finding the Third Proportional to 56,478 and 117,633

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Solution

The third proportional to 56,478 and 117,633 is: 245,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,478 : 117,633 = 117,633 : x
  2. Step 2: Convert to fraction form
    56,478/117,633 = 117,633/x
  3. Step 3: Cross multiply
    56,478x = 117,633 × 117,633
  4. Step 4: Simplify right side
    56,478x = 13,837,522,689
  5. Step 5: Solve for x
    x = 13,837,522,689/56,478
  6. Step 6: Final answer
    x = 245,007.31

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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.