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Finding the Third Proportional to 88,296 and 113,370

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Solution

The third proportional to 88,296 and 113,370 is: 145,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,296 : 113,370 = 113,370 : x
  2. Step 2: Convert to fraction form
    88,296/113,370 = 113,370/x
  3. Step 3: Cross multiply
    88,296x = 113,370 × 113,370
  4. Step 4: Simplify right side
    88,296x = 12,852,756,900
  5. Step 5: Solve for x
    x = 12,852,756,900/88,296
  6. Step 6: Final answer
    x = 145,564.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.