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Finding the Third Proportional to 45,789 and 95,085.75

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Solution

The third proportional to 45,789 and 95,085.75 is: 197,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,789 : 95,085.75 = 95,085.75 : x
  2. Step 2: Convert to fraction form
    45,789/95,085.75 = 95,085.75/x
  3. Step 3: Cross multiply
    45,789x = 95,085.75 × 95,085.75
  4. Step 4: Simplify right side
    45,789x = 9,041,299,853.06
  5. Step 5: Solve for x
    x = 9,041,299,853.06/45,789
  6. Step 6: Final answer
    x = 197,455.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.