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Finding the Third Proportional to 74,794 and 115,000

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Solution

The third proportional to 74,794 and 115,000 is: 176,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,794 : 115,000 = 115,000 : x
  2. Step 2: Convert to fraction form
    74,794/115,000 = 115,000/x
  3. Step 3: Cross multiply
    74,794x = 115,000 × 115,000
  4. Step 4: Simplify right side
    74,794x = 13,225,000,000
  5. Step 5: Solve for x
    x = 13,225,000,000/74,794
  6. Step 6: Final answer
    x = 176,819.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.