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Finding the Third Proportional to 84,935.25 and 178,132.50

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Solution

The third proportional to 84,935.25 and 178,132.50 is: 373,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,935.25 : 178,132.50 = 178,132.50 : x
  2. Step 2: Convert to fraction form
    84,935.25/178,132.50 = 178,132.50/x
  3. Step 3: Cross multiply
    84,935.25x = 178,132.50 × 178,132.50
  4. Step 4: Simplify right side
    84,935.25x = 31,731,187,556.25
  5. Step 5: Solve for x
    x = 31,731,187,556.25/84,935.25
  6. Step 6: Final answer
    x = 373,592.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.