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Finding the Third Proportional to 74,055 and 157,964

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Solution

The third proportional to 74,055 and 157,964 is: 336,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,055 : 157,964 = 157,964 : x
  2. Step 2: Convert to fraction form
    74,055/157,964 = 157,964/x
  3. Step 3: Cross multiply
    74,055x = 157,964 × 157,964
  4. Step 4: Simplify right side
    74,055x = 24,952,625,296
  5. Step 5: Solve for x
    x = 24,952,625,296/74,055
  6. Step 6: Final answer
    x = 336,947.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.