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Finding the Third Proportional to 112,748 and 234,826

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Solution

The third proportional to 112,748 and 234,826 is: 489,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,748 : 234,826 = 234,826 : x
  2. Step 2: Convert to fraction form
    112,748/234,826 = 234,826/x
  3. Step 3: Cross multiply
    112,748x = 234,826 × 234,826
  4. Step 4: Simplify right side
    112,748x = 55,143,250,276
  5. Step 5: Solve for x
    x = 55,143,250,276/112,748
  6. Step 6: Final answer
    x = 489,084.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.