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Finding the Third Proportional to 94,272 and 146,352

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Solution

The third proportional to 94,272 and 146,352 is: 227,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,272 : 146,352 = 146,352 : x
  2. Step 2: Convert to fraction form
    94,272/146,352 = 146,352/x
  3. Step 3: Cross multiply
    94,272x = 146,352 × 146,352
  4. Step 4: Simplify right side
    94,272x = 21,418,907,904
  5. Step 5: Solve for x
    x = 21,418,907,904/94,272
  6. Step 6: Final answer
    x = 227,203.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.