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Finding the Third Proportional to 96,371 and 148,314

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Solution

The third proportional to 96,371 and 148,314 is: 228,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,371 : 148,314 = 148,314 : x
  2. Step 2: Convert to fraction form
    96,371/148,314 = 148,314/x
  3. Step 3: Cross multiply
    96,371x = 148,314 × 148,314
  4. Step 4: Simplify right side
    96,371x = 21,997,042,596
  5. Step 5: Solve for x
    x = 21,997,042,596/96,371
  6. Step 6: Final answer
    x = 228,253.75

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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.