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Finding the Third Proportional to 112,908 and 165,984

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Solution

The third proportional to 112,908 and 165,984 is: 244,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,908 : 165,984 = 165,984 : x
  2. Step 2: Convert to fraction form
    112,908/165,984 = 165,984/x
  3. Step 3: Cross multiply
    112,908x = 165,984 × 165,984
  4. Step 4: Simplify right side
    112,908x = 27,550,688,256
  5. Step 5: Solve for x
    x = 27,550,688,256/112,908
  6. Step 6: Final answer
    x = 244,010.06

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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.