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Finding the Third Proportional to 62,331 and 148,173

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Solution

The third proportional to 62,331 and 148,173 is: 352,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,331 : 148,173 = 148,173 : x
  2. Step 2: Convert to fraction form
    62,331/148,173 = 148,173/x
  3. Step 3: Cross multiply
    62,331x = 148,173 × 148,173
  4. Step 4: Simplify right side
    62,331x = 21,955,237,929
  5. Step 5: Solve for x
    x = 21,955,237,929/62,331
  6. Step 6: Final answer
    x = 352,236.25

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.