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Finding the Third Proportional to 45,705 and 96,399

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Solution

The third proportional to 45,705 and 96,399 is: 203,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,705 : 96,399 = 96,399 : x
  2. Step 2: Convert to fraction form
    45,705/96,399 = 96,399/x
  3. Step 3: Cross multiply
    45,705x = 96,399 × 96,399
  4. Step 4: Simplify right side
    45,705x = 9,292,767,201
  5. Step 5: Solve for x
    x = 9,292,767,201/45,705
  6. Step 6: Final answer
    x = 203,320.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.