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Finding the Third Proportional to 65,906 and 155,511

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Solution

The third proportional to 65,906 and 155,511 is: 366,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906 : 155,511 = 155,511 : x
  2. Step 2: Convert to fraction form
    65,906/155,511 = 155,511/x
  3. Step 3: Cross multiply
    65,906x = 155,511 × 155,511
  4. Step 4: Simplify right side
    65,906x = 24,183,671,121
  5. Step 5: Solve for x
    x = 24,183,671,121/65,906
  6. Step 6: Final answer
    x = 366,941.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.