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Finding the Third Proportional to 74,094.75 and 174,828.38

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Solution

The third proportional to 74,094.75 and 174,828.38 is: 412,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094.75 : 174,828.38 = 174,828.38 : x
  2. Step 2: Convert to fraction form
    74,094.75/174,828.38 = 174,828.38/x
  3. Step 3: Cross multiply
    74,094.75x = 174,828.38 × 174,828.38
  4. Step 4: Simplify right side
    74,094.75x = 30,564,960,705.14
  5. Step 5: Solve for x
    x = 30,564,960,705.14/74,094.75
  6. Step 6: Final answer
    x = 412,511.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.