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Finding the Third Proportional to 134,107.52 and 201,164.13

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Solution

The third proportional to 134,107.52 and 201,164.13 is: 301,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,107.52 : 201,164.13 = 201,164.13 : x
  2. Step 2: Convert to fraction form
    134,107.52/201,164.13 = 201,164.13/x
  3. Step 3: Cross multiply
    134,107.52x = 201,164.13 × 201,164.13
  4. Step 4: Simplify right side
    134,107.52x = 40,467,008,330.21
  5. Step 5: Solve for x
    x = 40,467,008,330.21/134,107.52
  6. Step 6: Final answer
    x = 301,750.47

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