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Finding the Third Proportional to 134,527 and 202,110

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Solution

The third proportional to 134,527 and 202,110 is: 303,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,527 : 202,110 = 202,110 : x
  2. Step 2: Convert to fraction form
    134,527/202,110 = 202,110/x
  3. Step 3: Cross multiply
    134,527x = 202,110 × 202,110
  4. Step 4: Simplify right side
    134,527x = 40,848,452,100
  5. Step 5: Solve for x
    x = 40,848,452,100/134,527
  6. Step 6: Final answer
    x = 303,645.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.