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Finding the Third Proportional to 88,184 and 133,097

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Solution

The third proportional to 88,184 and 133,097 is: 200,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,184 : 133,097 = 133,097 : x
  2. Step 2: Convert to fraction form
    88,184/133,097 = 133,097/x
  3. Step 3: Cross multiply
    88,184x = 133,097 × 133,097
  4. Step 4: Simplify right side
    88,184x = 17,714,811,409
  5. Step 5: Solve for x
    x = 17,714,811,409/88,184
  6. Step 6: Final answer
    x = 200,884.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.