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Finding the Third Proportional to 76,195.13 and 175,239

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Solution

The third proportional to 76,195.13 and 175,239 is: 403,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,195.13 : 175,239 = 175,239 : x
  2. Step 2: Convert to fraction form
    76,195.13/175,239 = 175,239/x
  3. Step 3: Cross multiply
    76,195.13x = 175,239 × 175,239
  4. Step 4: Simplify right side
    76,195.13x = 30,708,707,121
  5. Step 5: Solve for x
    x = 30,708,707,121/76,195.13
  6. Step 6: Final answer
    x = 403,027.19

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.