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Finding the Third Proportional to 118,952.30 and 182,195.89

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Solution

The third proportional to 118,952.30 and 182,195.89 is: 279,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,952.30 : 182,195.89 = 182,195.89 : x
  2. Step 2: Convert to fraction form
    118,952.30/182,195.89 = 182,195.89/x
  3. Step 3: Cross multiply
    118,952.30x = 182,195.89 × 182,195.89
  4. Step 4: Simplify right side
    118,952.30x = 33,195,343,984.04
  5. Step 5: Solve for x
    x = 33,195,343,984.04/118,952.30
  6. Step 6: Final answer
    x = 279,064.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.