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Finding the Third Proportional to 118,522 and 195,760

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Solution

The third proportional to 118,522 and 195,760 is: 323,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,522 : 195,760 = 195,760 : x
  2. Step 2: Convert to fraction form
    118,522/195,760 = 195,760/x
  3. Step 3: Cross multiply
    118,522x = 195,760 × 195,760
  4. Step 4: Simplify right side
    118,522x = 38,321,977,600
  5. Step 5: Solve for x
    x = 38,321,977,600/118,522
  6. Step 6: Final answer
    x = 323,332.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.