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Finding the Third Proportional to 134,114.63 and 202,538.81

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Solution

The third proportional to 134,114.63 and 202,538.81 is: 305,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,114.63 : 202,538.81 = 202,538.81 : x
  2. Step 2: Convert to fraction form
    134,114.63/202,538.81 = 202,538.81/x
  3. Step 3: Cross multiply
    134,114.63x = 202,538.81 × 202,538.81
  4. Step 4: Simplify right side
    134,114.63x = 41,021,970,568.91
  5. Step 5: Solve for x
    x = 41,021,970,568.91/134,114.63
  6. Step 6: Final answer
    x = 305,872.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.