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Finding the Third Proportional to 132,632 and 202,821

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Solution

The third proportional to 132,632 and 202,821 is: 310,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,632 : 202,821 = 202,821 : x
  2. Step 2: Convert to fraction form
    132,632/202,821 = 202,821/x
  3. Step 3: Cross multiply
    132,632x = 202,821 × 202,821
  4. Step 4: Simplify right side
    132,632x = 41,136,358,041
  5. Step 5: Solve for x
    x = 41,136,358,041/132,632
  6. Step 6: Final answer
    x = 310,154.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.