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Finding the Third Proportional to 78,525.50 and 171,719

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Solution

The third proportional to 78,525.50 and 171,719 is: 375,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,525.50 : 171,719 = 171,719 : x
  2. Step 2: Convert to fraction form
    78,525.50/171,719 = 171,719/x
  3. Step 3: Cross multiply
    78,525.50x = 171,719 × 171,719
  4. Step 4: Simplify right side
    78,525.50x = 29,487,414,961
  5. Step 5: Solve for x
    x = 29,487,414,961/78,525.50
  6. Step 6: Final answer
    x = 375,513.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.