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Finding the Third Proportional to 84,156.50 and 181,435

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Solution

The third proportional to 84,156.50 and 181,435 is: 391,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,156.50 : 181,435 = 181,435 : x
  2. Step 2: Convert to fraction form
    84,156.50/181,435 = 181,435/x
  3. Step 3: Cross multiply
    84,156.50x = 181,435 × 181,435
  4. Step 4: Simplify right side
    84,156.50x = 32,918,659,225
  5. Step 5: Solve for x
    x = 32,918,659,225/84,156.50
  6. Step 6: Final answer
    x = 391,160.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.