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Finding the Third Proportional to 51,746 and 113,178

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Solution

The third proportional to 51,746 and 113,178 is: 247,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,746 : 113,178 = 113,178 : x
  2. Step 2: Convert to fraction form
    51,746/113,178 = 113,178/x
  3. Step 3: Cross multiply
    51,746x = 113,178 × 113,178
  4. Step 4: Simplify right side
    51,746x = 12,809,259,684
  5. Step 5: Solve for x
    x = 12,809,259,684/51,746
  6. Step 6: Final answer
    x = 247,541.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.