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Finding the Third Proportional to 88,136 and 182,200

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Solution

The third proportional to 88,136 and 182,200 is: 376,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,136 : 182,200 = 182,200 : x
  2. Step 2: Convert to fraction form
    88,136/182,200 = 182,200/x
  3. Step 3: Cross multiply
    88,136x = 182,200 × 182,200
  4. Step 4: Simplify right side
    88,136x = 33,196,840,000
  5. Step 5: Solve for x
    x = 33,196,840,000/88,136
  6. Step 6: Final answer
    x = 376,654.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.