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Finding the Third Proportional to 82,025.25 and 117,295.50

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Solution

The third proportional to 82,025.25 and 117,295.50 is: 167,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,025.25 : 117,295.50 = 117,295.50 : x
  2. Step 2: Convert to fraction form
    82,025.25/117,295.50 = 117,295.50/x
  3. Step 3: Cross multiply
    82,025.25x = 117,295.50 × 117,295.50
  4. Step 4: Simplify right side
    82,025.25x = 13,758,234,320.25
  5. Step 5: Solve for x
    x = 13,758,234,320.25/82,025.25
  6. Step 6: Final answer
    x = 167,731.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.