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Finding the Third Proportional to 34,501 and 74,186

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Solution

The third proportional to 34,501 and 74,186 is: 159,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,501 : 74,186 = 74,186 : x
  2. Step 2: Convert to fraction form
    34,501/74,186 = 74,186/x
  3. Step 3: Cross multiply
    34,501x = 74,186 × 74,186
  4. Step 4: Simplify right side
    34,501x = 5,503,562,596
  5. Step 5: Solve for x
    x = 5,503,562,596/34,501
  6. Step 6: Final answer
    x = 159,518.93

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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.