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Finding the Third Proportional to 35,199 and 73,300

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Solution

The third proportional to 35,199 and 73,300 is: 152,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,199 : 73,300 = 73,300 : x
  2. Step 2: Convert to fraction form
    35,199/73,300 = 73,300/x
  3. Step 3: Cross multiply
    35,199x = 73,300 × 73,300
  4. Step 4: Simplify right side
    35,199x = 5,372,890,000
  5. Step 5: Solve for x
    x = 5,372,890,000/35,199
  6. Step 6: Final answer
    x = 152,643.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.