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Finding the Third Proportional to 45,512 and 99,283

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Solution

The third proportional to 45,512 and 99,283 is: 216,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,512 : 99,283 = 99,283 : x
  2. Step 2: Convert to fraction form
    45,512/99,283 = 99,283/x
  3. Step 3: Cross multiply
    45,512x = 99,283 × 99,283
  4. Step 4: Simplify right side
    45,512x = 9,857,114,089
  5. Step 5: Solve for x
    x = 9,857,114,089/45,512
  6. Step 6: Final answer
    x = 216,582.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.