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Finding the Third Proportional to 82,106.25 and 177,030.75

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Solution

The third proportional to 82,106.25 and 177,030.75 is: 381,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,106.25 : 177,030.75 = 177,030.75 : x
  2. Step 2: Convert to fraction form
    82,106.25/177,030.75 = 177,030.75/x
  3. Step 3: Cross multiply
    82,106.25x = 177,030.75 × 177,030.75
  4. Step 4: Simplify right side
    82,106.25x = 31,339,886,445.56
  5. Step 5: Solve for x
    x = 31,339,886,445.56/82,106.25
  6. Step 6: Final answer
    x = 381,699.16

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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.