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Finding the Third Proportional to 40,097 and 87,024

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Solution

The third proportional to 40,097 and 87,024 is: 188,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,097 : 87,024 = 87,024 : x
  2. Step 2: Convert to fraction form
    40,097/87,024 = 87,024/x
  3. Step 3: Cross multiply
    40,097x = 87,024 × 87,024
  4. Step 4: Simplify right side
    40,097x = 7,573,176,576
  5. Step 5: Solve for x
    x = 7,573,176,576/40,097
  6. Step 6: Final answer
    x = 188,871.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.