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Finding the Third Proportional to 96,312 and 148,227

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Solution

The third proportional to 96,312 and 148,227 is: 228,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,312 : 148,227 = 148,227 : x
  2. Step 2: Convert to fraction form
    96,312/148,227 = 148,227/x
  3. Step 3: Cross multiply
    96,312x = 148,227 × 148,227
  4. Step 4: Simplify right side
    96,312x = 21,971,243,529
  5. Step 5: Solve for x
    x = 21,971,243,529/96,312
  6. Step 6: Final answer
    x = 228,125.71

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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.