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Finding the Third Proportional to 42,954.75 and 87,117.75

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Solution

The third proportional to 42,954.75 and 87,117.75 is: 176,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,954.75 : 87,117.75 = 87,117.75 : x
  2. Step 2: Convert to fraction form
    42,954.75/87,117.75 = 87,117.75/x
  3. Step 3: Cross multiply
    42,954.75x = 87,117.75 × 87,117.75
  4. Step 4: Simplify right side
    42,954.75x = 7,589,502,365.06
  5. Step 5: Solve for x
    x = 7,589,502,365.06/42,954.75
  6. Step 6: Final answer
    x = 176,685.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.