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Finding the Third Proportional to 74,094.75 and 162,300.94

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Solution

The third proportional to 74,094.75 and 162,300.94 is: 355,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094.75 : 162,300.94 = 162,300.94 : x
  2. Step 2: Convert to fraction form
    74,094.75/162,300.94 = 162,300.94/x
  3. Step 3: Cross multiply
    74,094.75x = 162,300.94 × 162,300.94
  4. Step 4: Simplify right side
    74,094.75x = 26,341,594,313.38
  5. Step 5: Solve for x
    x = 26,341,594,313.38/74,094.75
  6. Step 6: Final answer
    x = 355,512.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.