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Finding the Third Proportional to 113,516 and 182,904

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Solution

The third proportional to 113,516 and 182,904 is: 294,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,516 : 182,904 = 182,904 : x
  2. Step 2: Convert to fraction form
    113,516/182,904 = 182,904/x
  3. Step 3: Cross multiply
    113,516x = 182,904 × 182,904
  4. Step 4: Simplify right side
    113,516x = 33,453,873,216
  5. Step 5: Solve for x
    x = 33,453,873,216/113,516
  6. Step 6: Final answer
    x = 294,706.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.