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Finding the Third Proportional to 74,217 and 175,023

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Solution

The third proportional to 74,217 and 175,023 is: 412,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,217 : 175,023 = 175,023 : x
  2. Step 2: Convert to fraction form
    74,217/175,023 = 175,023/x
  3. Step 3: Cross multiply
    74,217x = 175,023 × 175,023
  4. Step 4: Simplify right side
    74,217x = 30,633,050,529
  5. Step 5: Solve for x
    x = 30,633,050,529/74,217
  6. Step 6: Final answer
    x = 412,749.78

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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.