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Finding the Third Proportional to 112,259 and 240,083

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Solution

The third proportional to 112,259 and 240,083 is: 513,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,259 : 240,083 = 240,083 : x
  2. Step 2: Convert to fraction form
    112,259/240,083 = 240,083/x
  3. Step 3: Cross multiply
    112,259x = 240,083 × 240,083
  4. Step 4: Simplify right side
    112,259x = 57,639,846,889
  5. Step 5: Solve for x
    x = 57,639,846,889/112,259
  6. Step 6: Final answer
    x = 513,454.13

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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.