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Finding the Third Proportional to 56,758 and 122,178

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Solution

The third proportional to 56,758 and 122,178 is: 263,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,758 : 122,178 = 122,178 : x
  2. Step 2: Convert to fraction form
    56,758/122,178 = 122,178/x
  3. Step 3: Cross multiply
    56,758x = 122,178 × 122,178
  4. Step 4: Simplify right side
    56,758x = 14,927,463,684
  5. Step 5: Solve for x
    x = 14,927,463,684/56,758
  6. Step 6: Final answer
    x = 263,001.93

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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.