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Finding the Third Proportional to 30,200 and 66,235

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Solution

The third proportional to 30,200 and 66,235 is: 145,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200 : 66,235 = 66,235 : x
  2. Step 2: Convert to fraction form
    30,200/66,235 = 66,235/x
  3. Step 3: Cross multiply
    30,200x = 66,235 × 66,235
  4. Step 4: Simplify right side
    30,200x = 4,387,075,225
  5. Step 5: Solve for x
    x = 4,387,075,225/30,200
  6. Step 6: Final answer
    x = 145,267.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.