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Finding the Third Proportional to 96,396 and 148,352

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Solution

The third proportional to 96,396 and 148,352 is: 228,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,396 : 148,352 = 148,352 : x
  2. Step 2: Convert to fraction form
    96,396/148,352 = 148,352/x
  3. Step 3: Cross multiply
    96,396x = 148,352 × 148,352
  4. Step 4: Simplify right side
    96,396x = 22,008,315,904
  5. Step 5: Solve for x
    x = 22,008,315,904/96,396
  6. Step 6: Final answer
    x = 228,311.51

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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.