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Finding the Third Proportional to 119,045 and 161,677

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Solution

The third proportional to 119,045 and 161,677 is: 219,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,045 : 161,677 = 161,677 : x
  2. Step 2: Convert to fraction form
    119,045/161,677 = 161,677/x
  3. Step 3: Cross multiply
    119,045x = 161,677 × 161,677
  4. Step 4: Simplify right side
    119,045x = 26,139,452,329
  5. Step 5: Solve for x
    x = 26,139,452,329/119,045
  6. Step 6: Final answer
    x = 219,576.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.