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Finding the Third Proportional to 35,266 and 77,200

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Solution

The third proportional to 35,266 and 77,200 is: 168,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,266 : 77,200 = 77,200 : x
  2. Step 2: Convert to fraction form
    35,266/77,200 = 77,200/x
  3. Step 3: Cross multiply
    35,266x = 77,200 × 77,200
  4. Step 4: Simplify right side
    35,266x = 5,959,840,000
  5. Step 5: Solve for x
    x = 5,959,840,000/35,266
  6. Step 6: Final answer
    x = 168,996.77

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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.