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Finding the Third Proportional to 112,105 and 242,526

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Solution

The third proportional to 112,105 and 242,526 is: 524,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,105 : 242,526 = 242,526 : x
  2. Step 2: Convert to fraction form
    112,105/242,526 = 242,526/x
  3. Step 3: Cross multiply
    112,105x = 242,526 × 242,526
  4. Step 4: Simplify right side
    112,105x = 58,818,860,676
  5. Step 5: Solve for x
    x = 58,818,860,676/112,105
  6. Step 6: Final answer
    x = 524,676.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.