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Finding the Third Proportional to 78,412.50 and 160,983

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Solution

The third proportional to 78,412.50 and 160,983 is: 330,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,412.50 : 160,983 = 160,983 : x
  2. Step 2: Convert to fraction form
    78,412.50/160,983 = 160,983/x
  3. Step 3: Cross multiply
    78,412.50x = 160,983 × 160,983
  4. Step 4: Simplify right side
    78,412.50x = 25,915,526,289
  5. Step 5: Solve for x
    x = 25,915,526,289/78,412.50
  6. Step 6: Final answer
    x = 330,502.49

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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.