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Finding the Third Proportional to 74,606 and 115,522

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Solution

The third proportional to 74,606 and 115,522 is: 178,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,606 : 115,522 = 115,522 : x
  2. Step 2: Convert to fraction form
    74,606/115,522 = 115,522/x
  3. Step 3: Cross multiply
    74,606x = 115,522 × 115,522
  4. Step 4: Simplify right side
    74,606x = 13,345,332,484
  5. Step 5: Solve for x
    x = 13,345,332,484/74,606
  6. Step 6: Final answer
    x = 178,877.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.