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Finding the Third Proportional to 74,484 and 175,672

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Solution

The third proportional to 74,484 and 175,672 is: 414,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,484 : 175,672 = 175,672 : x
  2. Step 2: Convert to fraction form
    74,484/175,672 = 175,672/x
  3. Step 3: Cross multiply
    74,484x = 175,672 × 175,672
  4. Step 4: Simplify right side
    74,484x = 30,860,651,584
  5. Step 5: Solve for x
    x = 30,860,651,584/74,484
  6. Step 6: Final answer
    x = 414,325.92

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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.