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Finding the Third Proportional to 119,461 and 180,116

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Solution

The third proportional to 119,461 and 180,116 is: 271,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,461 : 180,116 = 180,116 : x
  2. Step 2: Convert to fraction form
    119,461/180,116 = 180,116/x
  3. Step 3: Cross multiply
    119,461x = 180,116 × 180,116
  4. Step 4: Simplify right side
    119,461x = 32,441,773,456
  5. Step 5: Solve for x
    x = 32,441,773,456/119,461
  6. Step 6: Final answer
    x = 271,567.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.