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Finding the Third Proportional to 112,064 and 242,794

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Solution

The third proportional to 112,064 and 242,794 is: 526,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,064 : 242,794 = 242,794 : x
  2. Step 2: Convert to fraction form
    112,064/242,794 = 242,794/x
  3. Step 3: Cross multiply
    112,064x = 242,794 × 242,794
  4. Step 4: Simplify right side
    112,064x = 58,948,926,436
  5. Step 5: Solve for x
    x = 58,948,926,436/112,064
  6. Step 6: Final answer
    x = 526,029.11

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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.