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Finding the Third Proportional to 83,475 and 171,051.75

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Solution

The third proportional to 83,475 and 171,051.75 is: 350,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,475 : 171,051.75 = 171,051.75 : x
  2. Step 2: Convert to fraction form
    83,475/171,051.75 = 171,051.75/x
  3. Step 3: Cross multiply
    83,475x = 171,051.75 × 171,051.75
  4. Step 4: Simplify right side
    83,475x = 29,258,701,178.06
  5. Step 5: Solve for x
    x = 29,258,701,178.06/83,475
  6. Step 6: Final answer
    x = 350,508.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.