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Finding the Third Proportional to 134,113 and 201,172

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Solution

The third proportional to 134,113 and 201,172 is: 301,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,113 : 201,172 = 201,172 : x
  2. Step 2: Convert to fraction form
    134,113/201,172 = 201,172/x
  3. Step 3: Cross multiply
    134,113x = 201,172 × 201,172
  4. Step 4: Simplify right side
    134,113x = 40,470,173,584
  5. Step 5: Solve for x
    x = 40,470,173,584/134,113
  6. Step 6: Final answer
    x = 301,761.75

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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.