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Finding the Third Proportional to 112,772 and 248,870

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Solution

The third proportional to 112,772 and 248,870 is: 549,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,772 : 248,870 = 248,870 : x
  2. Step 2: Convert to fraction form
    112,772/248,870 = 248,870/x
  3. Step 3: Cross multiply
    112,772x = 248,870 × 248,870
  4. Step 4: Simplify right side
    112,772x = 61,936,276,900
  5. Step 5: Solve for x
    x = 61,936,276,900/112,772
  6. Step 6: Final answer
    x = 549,216.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.