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Finding the Third Proportional to 88,072 and 190,400

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Solution

The third proportional to 88,072 and 190,400 is: 411,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,072 : 190,400 = 190,400 : x
  2. Step 2: Convert to fraction form
    88,072/190,400 = 190,400/x
  3. Step 3: Cross multiply
    88,072x = 190,400 × 190,400
  4. Step 4: Simplify right side
    88,072x = 36,252,160,000
  5. Step 5: Solve for x
    x = 36,252,160,000/88,072
  6. Step 6: Final answer
    x = 411,619.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.