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Finding the Third Proportional to 112,880 and 165,828

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Solution

The third proportional to 112,880 and 165,828 is: 243,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,880 : 165,828 = 165,828 : x
  2. Step 2: Convert to fraction form
    112,880/165,828 = 165,828/x
  3. Step 3: Cross multiply
    112,880x = 165,828 × 165,828
  4. Step 4: Simplify right side
    112,880x = 27,498,925,584
  5. Step 5: Solve for x
    x = 27,498,925,584/112,880
  6. Step 6: Final answer
    x = 243,612.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.