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Finding the Third Proportional to 84,578 and 182,148

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Solution

The third proportional to 84,578 and 182,148 is: 392,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,578 : 182,148 = 182,148 : x
  2. Step 2: Convert to fraction form
    84,578/182,148 = 182,148/x
  3. Step 3: Cross multiply
    84,578x = 182,148 × 182,148
  4. Step 4: Simplify right side
    84,578x = 33,177,893,904
  5. Step 5: Solve for x
    x = 33,177,893,904/84,578
  6. Step 6: Final answer
    x = 392,275.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.