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Finding the Third Proportional to 45,803 and 96,526

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Solution

The third proportional to 45,803 and 96,526 is: 203,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,803 : 96,526 = 96,526 : x
  2. Step 2: Convert to fraction form
    45,803/96,526 = 96,526/x
  3. Step 3: Cross multiply
    45,803x = 96,526 × 96,526
  4. Step 4: Simplify right side
    45,803x = 9,317,268,676
  5. Step 5: Solve for x
    x = 9,317,268,676/45,803
  6. Step 6: Final answer
    x = 203,420.49

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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.