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Finding the Third Proportional to 119,838.75 and 172,629.75

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Solution

The third proportional to 119,838.75 and 172,629.75 is: 248,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,838.75 : 172,629.75 = 172,629.75 : x
  2. Step 2: Convert to fraction form
    119,838.75/172,629.75 = 172,629.75/x
  3. Step 3: Cross multiply
    119,838.75x = 172,629.75 × 172,629.75
  4. Step 4: Simplify right side
    119,838.75x = 29,801,030,585.06
  5. Step 5: Solve for x
    x = 29,801,030,585.06/119,838.75
  6. Step 6: Final answer
    x = 248,676.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.