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Finding the Third Proportional to 56,185 and 120,708

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Solution

The third proportional to 56,185 and 120,708 is: 259,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,185 : 120,708 = 120,708 : x
  2. Step 2: Convert to fraction form
    56,185/120,708 = 120,708/x
  3. Step 3: Cross multiply
    56,185x = 120,708 × 120,708
  4. Step 4: Simplify right side
    56,185x = 14,570,421,264
  5. Step 5: Solve for x
    x = 14,570,421,264/56,185
  6. Step 6: Final answer
    x = 259,329.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.