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Finding the Third Proportional to 91,592 and 193,024

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Solution

The third proportional to 91,592 and 193,024 is: 406,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,592 : 193,024 = 193,024 : x
  2. Step 2: Convert to fraction form
    91,592/193,024 = 193,024/x
  3. Step 3: Cross multiply
    91,592x = 193,024 × 193,024
  4. Step 4: Simplify right side
    91,592x = 37,258,264,576
  5. Step 5: Solve for x
    x = 37,258,264,576/91,592
  6. Step 6: Final answer
    x = 406,785.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.