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Finding the Third Proportional to 95,628 and 147,474

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Solution

The third proportional to 95,628 and 147,474 is: 227,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,628 : 147,474 = 147,474 : x
  2. Step 2: Convert to fraction form
    95,628/147,474 = 147,474/x
  3. Step 3: Cross multiply
    95,628x = 147,474 × 147,474
  4. Step 4: Simplify right side
    95,628x = 21,748,580,676
  5. Step 5: Solve for x
    x = 21,748,580,676/95,628
  6. Step 6: Final answer
    x = 227,429.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.