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Finding the Third Proportional to 91,542 and 197,130

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Solution

The third proportional to 91,542 and 197,130 is: 424,507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,542 : 197,130 = 197,130 : x
  2. Step 2: Convert to fraction form
    91,542/197,130 = 197,130/x
  3. Step 3: Cross multiply
    91,542x = 197,130 × 197,130
  4. Step 4: Simplify right side
    91,542x = 38,860,236,900
  5. Step 5: Solve for x
    x = 38,860,236,900/91,542
  6. Step 6: Final answer
    x = 424,507.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.