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Finding the Third Proportional to 78,134 and 161,804

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Solution

The third proportional to 78,134 and 161,804 is: 335,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134 : 161,804 = 161,804 : x
  2. Step 2: Convert to fraction form
    78,134/161,804 = 161,804/x
  3. Step 3: Cross multiply
    78,134x = 161,804 × 161,804
  4. Step 4: Simplify right side
    78,134x = 26,180,534,416
  5. Step 5: Solve for x
    x = 26,180,534,416/78,134
  6. Step 6: Final answer
    x = 335,072.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.