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Finding the Third Proportional to 76,212 and 175,284

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Solution

The third proportional to 76,212 and 175,284 is: 403,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212 : 175,284 = 175,284 : x
  2. Step 2: Convert to fraction form
    76,212/175,284 = 175,284/x
  3. Step 3: Cross multiply
    76,212x = 175,284 × 175,284
  4. Step 4: Simplify right side
    76,212x = 30,724,480,656
  5. Step 5: Solve for x
    x = 30,724,480,656/76,212
  6. Step 6: Final answer
    x = 403,144.92

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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.