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Finding the Third Proportional to 78,475.50 and 161,087

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Solution

The third proportional to 78,475.50 and 161,087 is: 330,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,475.50 : 161,087 = 161,087 : x
  2. Step 2: Convert to fraction form
    78,475.50/161,087 = 161,087/x
  3. Step 3: Cross multiply
    78,475.50x = 161,087 × 161,087
  4. Step 4: Simplify right side
    78,475.50x = 25,949,021,569
  5. Step 5: Solve for x
    x = 25,949,021,569/78,475.50
  6. Step 6: Final answer
    x = 330,663.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.