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Finding the Third Proportional to 75,114 and 159,804

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Solution

The third proportional to 75,114 and 159,804 is: 339,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114 : 159,804 = 159,804 : x
  2. Step 2: Convert to fraction form
    75,114/159,804 = 159,804/x
  3. Step 3: Cross multiply
    75,114x = 159,804 × 159,804
  4. Step 4: Simplify right side
    75,114x = 25,537,318,416
  5. Step 5: Solve for x
    x = 25,537,318,416/75,114
  6. Step 6: Final answer
    x = 339,980.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.