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Finding the Third Proportional to 73,158 and 157,620

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Solution

The third proportional to 73,158 and 157,620 is: 339,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,158 : 157,620 = 157,620 : x
  2. Step 2: Convert to fraction form
    73,158/157,620 = 157,620/x
  3. Step 3: Cross multiply
    73,158x = 157,620 × 157,620
  4. Step 4: Simplify right side
    73,158x = 24,844,064,400
  5. Step 5: Solve for x
    x = 24,844,064,400/73,158
  6. Step 6: Final answer
    x = 339,594.64

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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.