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Finding the Third Proportional to 74,741 and 111,047

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Solution

The third proportional to 74,741 and 111,047 is: 164,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,741 : 111,047 = 111,047 : x
  2. Step 2: Convert to fraction form
    74,741/111,047 = 111,047/x
  3. Step 3: Cross multiply
    74,741x = 111,047 × 111,047
  4. Step 4: Simplify right side
    74,741x = 12,331,436,209
  5. Step 5: Solve for x
    x = 12,331,436,209/74,741
  6. Step 6: Final answer
    x = 164,988.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.