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Finding the Third Proportional to 112,148 and 239,850

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Solution

The third proportional to 112,148 and 239,850 is: 512,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,148 : 239,850 = 239,850 : x
  2. Step 2: Convert to fraction form
    112,148/239,850 = 239,850/x
  3. Step 3: Cross multiply
    112,148x = 239,850 × 239,850
  4. Step 4: Simplify right side
    112,148x = 57,528,022,500
  5. Step 5: Solve for x
    x = 57,528,022,500/112,148
  6. Step 6: Final answer
    x = 512,965.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.