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Finding the Third Proportional to 82,695.94 and 175,096.69

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Solution

The third proportional to 82,695.94 and 175,096.69 is: 370,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,695.94 : 175,096.69 = 175,096.69 : x
  2. Step 2: Convert to fraction form
    82,695.94/175,096.69 = 175,096.69/x
  3. Step 3: Cross multiply
    82,695.94x = 175,096.69 × 175,096.69
  4. Step 4: Simplify right side
    82,695.94x = 30,658,849,973.47
  5. Step 5: Solve for x
    x = 30,658,849,973.47/82,695.94
  6. Step 6: Final answer
    x = 370,741.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.