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Finding the Third Proportional to 76,151 and 175,509

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Solution

The third proportional to 76,151 and 175,509 is: 404,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,151 : 175,509 = 175,509 : x
  2. Step 2: Convert to fraction form
    76,151/175,509 = 175,509/x
  3. Step 3: Cross multiply
    76,151x = 175,509 × 175,509
  4. Step 4: Simplify right side
    76,151x = 30,803,409,081
  5. Step 5: Solve for x
    x = 30,803,409,081/76,151
  6. Step 6: Final answer
    x = 404,504.33

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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.