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Finding the Third Proportional to 112,260 and 240,086

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Solution

The third proportional to 112,260 and 240,086 is: 513,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,260 : 240,086 = 240,086 : x
  2. Step 2: Convert to fraction form
    112,260/240,086 = 240,086/x
  3. Step 3: Cross multiply
    112,260x = 240,086 × 240,086
  4. Step 4: Simplify right side
    112,260x = 57,641,287,396
  5. Step 5: Solve for x
    x = 57,641,287,396/112,260
  6. Step 6: Final answer
    x = 513,462.39

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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.