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Finding the Third Proportional to 74,838 and 113,034

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Solution

The third proportional to 74,838 and 113,034 is: 170,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,838 : 113,034 = 113,034 : x
  2. Step 2: Convert to fraction form
    74,838/113,034 = 113,034/x
  3. Step 3: Cross multiply
    74,838x = 113,034 × 113,034
  4. Step 4: Simplify right side
    74,838x = 12,776,685,156
  5. Step 5: Solve for x
    x = 12,776,685,156/74,838
  6. Step 6: Final answer
    x = 170,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.