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Finding the Third Proportional to 78,094.13 and 161,724.09

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Solution

The third proportional to 78,094.13 and 161,724.09 is: 334,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,094.13 : 161,724.09 = 161,724.09 : x
  2. Step 2: Convert to fraction form
    78,094.13/161,724.09 = 161,724.09/x
  3. Step 3: Cross multiply
    78,094.13x = 161,724.09 × 161,724.09
  4. Step 4: Simplify right side
    78,094.13x = 26,154,682,499.26
  5. Step 5: Solve for x
    x = 26,154,682,499.26/78,094.13
  6. Step 6: Final answer
    x = 334,912.29

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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.