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Finding the Third Proportional to 73,369 and 116,620

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Solution

The third proportional to 73,369 and 116,620 is: 185,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,369 : 116,620 = 116,620 : x
  2. Step 2: Convert to fraction form
    73,369/116,620 = 116,620/x
  3. Step 3: Cross multiply
    73,369x = 116,620 × 116,620
  4. Step 4: Simplify right side
    73,369x = 13,600,224,400
  5. Step 5: Solve for x
    x = 13,600,224,400/73,369
  6. Step 6: Final answer
    x = 185,367.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.