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Finding the Third Proportional to 74,594 and 115,242

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Solution

The third proportional to 74,594 and 115,242 is: 178,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,594 : 115,242 = 115,242 : x
  2. Step 2: Convert to fraction form
    74,594/115,242 = 115,242/x
  3. Step 3: Cross multiply
    74,594x = 115,242 × 115,242
  4. Step 4: Simplify right side
    74,594x = 13,280,718,564
  5. Step 5: Solve for x
    x = 13,280,718,564/74,594
  6. Step 6: Final answer
    x = 178,040.04

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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.