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Finding the Third Proportional to 116,583 and 180,561

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Solution

The third proportional to 116,583 and 180,561 is: 279,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,583 : 180,561 = 180,561 : x
  2. Step 2: Convert to fraction form
    116,583/180,561 = 180,561/x
  3. Step 3: Cross multiply
    116,583x = 180,561 × 180,561
  4. Step 4: Simplify right side
    116,583x = 32,602,274,721
  5. Step 5: Solve for x
    x = 32,602,274,721/116,583
  6. Step 6: Final answer
    x = 279,648.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.