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Finding the Third Proportional to 84,142.55 and 180,108.56

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Solution

The third proportional to 84,142.55 and 180,108.56 is: 385,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.55 : 180,108.56 = 180,108.56 : x
  2. Step 2: Convert to fraction form
    84,142.55/180,108.56 = 180,108.56/x
  3. Step 3: Cross multiply
    84,142.55x = 180,108.56 × 180,108.56
  4. Step 4: Simplify right side
    84,142.55x = 32,439,094,285.82
  5. Step 5: Solve for x
    x = 32,439,094,285.82/84,142.55
  6. Step 6: Final answer
    x = 385,525.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.