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Finding the Third Proportional to 40,405 and 88,154

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Solution

The third proportional to 40,405 and 88,154 is: 192,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,405 : 88,154 = 88,154 : x
  2. Step 2: Convert to fraction form
    40,405/88,154 = 88,154/x
  3. Step 3: Cross multiply
    40,405x = 88,154 × 88,154
  4. Step 4: Simplify right side
    40,405x = 7,771,127,716
  5. Step 5: Solve for x
    x = 7,771,127,716/40,405
  6. Step 6: Final answer
    x = 192,330.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.