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Finding the Third Proportional to 62,308 and 134,120

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Solution

The third proportional to 62,308 and 134,120 is: 288,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,308 : 134,120 = 134,120 : x
  2. Step 2: Convert to fraction form
    62,308/134,120 = 134,120/x
  3. Step 3: Cross multiply
    62,308x = 134,120 × 134,120
  4. Step 4: Simplify right side
    62,308x = 17,988,174,400
  5. Step 5: Solve for x
    x = 17,988,174,400/62,308
  6. Step 6: Final answer
    x = 288,697.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.