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Finding the Third Proportional to 91,052 and 197,080

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Solution

The third proportional to 91,052 and 197,080 is: 426,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,052 : 197,080 = 197,080 : x
  2. Step 2: Convert to fraction form
    91,052/197,080 = 197,080/x
  3. Step 3: Cross multiply
    91,052x = 197,080 × 197,080
  4. Step 4: Simplify right side
    91,052x = 38,840,526,400
  5. Step 5: Solve for x
    x = 38,840,526,400/91,052
  6. Step 6: Final answer
    x = 426,575.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.