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Finding the Third Proportional to 73,093 and 157,465

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Solution

The third proportional to 73,093 and 157,465 is: 339,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,093 : 157,465 = 157,465 : x
  2. Step 2: Convert to fraction form
    73,093/157,465 = 157,465/x
  3. Step 3: Cross multiply
    73,093x = 157,465 × 157,465
  4. Step 4: Simplify right side
    73,093x = 24,795,226,225
  5. Step 5: Solve for x
    x = 24,795,226,225/73,093
  6. Step 6: Final answer
    x = 339,228.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.