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Finding the Third Proportional to 96,404 and 148,364

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Solution

The third proportional to 96,404 and 148,364 is: 228,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,404 : 148,364 = 148,364 : x
  2. Step 2: Convert to fraction form
    96,404/148,364 = 148,364/x
  3. Step 3: Cross multiply
    96,404x = 148,364 × 148,364
  4. Step 4: Simplify right side
    96,404x = 22,011,876,496
  5. Step 5: Solve for x
    x = 22,011,876,496/96,404
  6. Step 6: Final answer
    x = 228,329.49

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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.