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Finding the Third Proportional to 113,428 and 174,108

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Solution

The third proportional to 113,428 and 174,108 is: 267,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,428 : 174,108 = 174,108 : x
  2. Step 2: Convert to fraction form
    113,428/174,108 = 174,108/x
  3. Step 3: Cross multiply
    113,428x = 174,108 × 174,108
  4. Step 4: Simplify right side
    113,428x = 30,313,595,664
  5. Step 5: Solve for x
    x = 30,313,595,664/113,428
  6. Step 6: Final answer
    x = 267,249.67

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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.