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Finding the Third Proportional to 78,477.50 and 161,089

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Solution

The third proportional to 78,477.50 and 161,089 is: 330,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,477.50 : 161,089 = 161,089 : x
  2. Step 2: Convert to fraction form
    78,477.50/161,089 = 161,089/x
  3. Step 3: Cross multiply
    78,477.50x = 161,089 × 161,089
  4. Step 4: Simplify right side
    78,477.50x = 25,949,665,921
  5. Step 5: Solve for x
    x = 25,949,665,921/78,477.50
  6. Step 6: Final answer
    x = 330,663.77

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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.