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Finding the Third Proportional to 116,605 and 180,060

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Solution

The third proportional to 116,605 and 180,060 is: 278,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,605 : 180,060 = 180,060 : x
  2. Step 2: Convert to fraction form
    116,605/180,060 = 180,060/x
  3. Step 3: Cross multiply
    116,605x = 180,060 × 180,060
  4. Step 4: Simplify right side
    116,605x = 32,421,603,600
  5. Step 5: Solve for x
    x = 32,421,603,600/116,605
  6. Step 6: Final answer
    x = 278,046.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.