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Finding the Third Proportional to 116,610 and 180,068

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Solution

The third proportional to 116,610 and 180,068 is: 278,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,610 : 180,068 = 180,068 : x
  2. Step 2: Convert to fraction form
    116,610/180,068 = 180,068/x
  3. Step 3: Cross multiply
    116,610x = 180,068 × 180,068
  4. Step 4: Simplify right side
    116,610x = 32,424,484,624
  5. Step 5: Solve for x
    x = 32,424,484,624/116,610
  6. Step 6: Final answer
    x = 278,059.21

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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.