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Finding the Third Proportional to 84,533.63 and 134,796.94

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Solution

The third proportional to 84,533.63 and 134,796.94 is: 214,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,533.63 : 134,796.94 = 134,796.94 : x
  2. Step 2: Convert to fraction form
    84,533.63/134,796.94 = 134,796.94/x
  3. Step 3: Cross multiply
    84,533.63x = 134,796.94 × 134,796.94
  4. Step 4: Simplify right side
    84,533.63x = 18,170,214,359.38
  5. Step 5: Solve for x
    x = 18,170,214,359.38/84,533.63
  6. Step 6: Final answer
    x = 214,946.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.