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Finding the Third Proportional to 82,114.50 and 176,893.50

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Solution

The third proportional to 82,114.50 and 176,893.50 is: 381,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.50 : 176,893.50 = 176,893.50 : x
  2. Step 2: Convert to fraction form
    82,114.50/176,893.50 = 176,893.50/x
  3. Step 3: Cross multiply
    82,114.50x = 176,893.50 × 176,893.50
  4. Step 4: Simplify right side
    82,114.50x = 31,291,310,342.25
  5. Step 5: Solve for x
    x = 31,291,310,342.25/82,114.50
  6. Step 6: Final answer
    x = 381,069.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.