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Finding the Third Proportional to 89,268 and 143,526

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Solution

The third proportional to 89,268 and 143,526 is: 230,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,268 : 143,526 = 143,526 : x
  2. Step 2: Convert to fraction form
    89,268/143,526 = 143,526/x
  3. Step 3: Cross multiply
    89,268x = 143,526 × 143,526
  4. Step 4: Simplify right side
    89,268x = 20,599,712,676
  5. Step 5: Solve for x
    x = 20,599,712,676/89,268
  6. Step 6: Final answer
    x = 230,762.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.