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Finding the Third Proportional to 45,789 and 94,317

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Solution

The third proportional to 45,789 and 94,317 is: 194,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,789 : 94,317 = 94,317 : x
  2. Step 2: Convert to fraction form
    45,789/94,317 = 94,317/x
  3. Step 3: Cross multiply
    45,789x = 94,317 × 94,317
  4. Step 4: Simplify right side
    45,789x = 8,895,696,489
  5. Step 5: Solve for x
    x = 8,895,696,489/45,789
  6. Step 6: Final answer
    x = 194,275.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.