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Finding the Third Proportional to 35,139 and 74,200

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Solution

The third proportional to 35,139 and 74,200 is: 156,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,139 : 74,200 = 74,200 : x
  2. Step 2: Convert to fraction form
    35,139/74,200 = 74,200/x
  3. Step 3: Cross multiply
    35,139x = 74,200 × 74,200
  4. Step 4: Simplify right side
    35,139x = 5,505,640,000
  5. Step 5: Solve for x
    x = 5,505,640,000/35,139
  6. Step 6: Final answer
    x = 156,681.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.