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Finding the Third Proportional to 112,045 and 242,927

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Solution

The third proportional to 112,045 and 242,927 is: 526,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,045 : 242,927 = 242,927 : x
  2. Step 2: Convert to fraction form
    112,045/242,927 = 242,927/x
  3. Step 3: Cross multiply
    112,045x = 242,927 × 242,927
  4. Step 4: Simplify right side
    112,045x = 59,013,527,329
  5. Step 5: Solve for x
    x = 59,013,527,329/112,045
  6. Step 6: Final answer
    x = 526,694.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.