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Finding the Third Proportional to 96,448 and 148,416

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Solution

The third proportional to 96,448 and 148,416 is: 228,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,448 : 148,416 = 148,416 : x
  2. Step 2: Convert to fraction form
    96,448/148,416 = 148,416/x
  3. Step 3: Cross multiply
    96,448x = 148,416 × 148,416
  4. Step 4: Simplify right side
    96,448x = 22,027,309,056
  5. Step 5: Solve for x
    x = 22,027,309,056/96,448
  6. Step 6: Final answer
    x = 228,385.34

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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.