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Finding the Third Proportional to 112,043 and 241,078

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Solution

The third proportional to 112,043 and 241,078 is: 518,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,043 : 241,078 = 241,078 : x
  2. Step 2: Convert to fraction form
    112,043/241,078 = 241,078/x
  3. Step 3: Cross multiply
    112,043x = 241,078 × 241,078
  4. Step 4: Simplify right side
    112,043x = 58,118,602,084
  5. Step 5: Solve for x
    x = 58,118,602,084/112,043
  6. Step 6: Final answer
    x = 518,716.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.