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Finding the Third Proportional to 53,006 and 113,178

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Solution

The third proportional to 53,006 and 113,178 is: 241,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006 : 113,178 = 113,178 : x
  2. Step 2: Convert to fraction form
    53,006/113,178 = 113,178/x
  3. Step 3: Cross multiply
    53,006x = 113,178 × 113,178
  4. Step 4: Simplify right side
    53,006x = 12,809,259,684
  5. Step 5: Solve for x
    x = 12,809,259,684/53,006
  6. Step 6: Final answer
    x = 241,656.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.