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Finding the Third Proportional to 96,523 and 147,655

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Solution

The third proportional to 96,523 and 147,655 is: 225,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,523 : 147,655 = 147,655 : x
  2. Step 2: Convert to fraction form
    96,523/147,655 = 147,655/x
  3. Step 3: Cross multiply
    96,523x = 147,655 × 147,655
  4. Step 4: Simplify right side
    96,523x = 21,801,999,025
  5. Step 5: Solve for x
    x = 21,801,999,025/96,523
  6. Step 6: Final answer
    x = 225,873.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.