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Finding the Third Proportional to 96,468 and 147,477

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Solution

The third proportional to 96,468 and 147,477 is: 225,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,468 : 147,477 = 147,477 : x
  2. Step 2: Convert to fraction form
    96,468/147,477 = 147,477/x
  3. Step 3: Cross multiply
    96,468x = 147,477 × 147,477
  4. Step 4: Simplify right side
    96,468x = 21,749,465,529
  5. Step 5: Solve for x
    x = 21,749,465,529/96,468
  6. Step 6: Final answer
    x = 225,457.83

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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.