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Finding the Third Proportional to 94,272 and 136,332

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Solution

The third proportional to 94,272 and 136,332 is: 197,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,272 : 136,332 = 136,332 : x
  2. Step 2: Convert to fraction form
    94,272/136,332 = 136,332/x
  3. Step 3: Cross multiply
    94,272x = 136,332 × 136,332
  4. Step 4: Simplify right side
    94,272x = 18,586,414,224
  5. Step 5: Solve for x
    x = 18,586,414,224/94,272
  6. Step 6: Final answer
    x = 197,157.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.