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Finding the Third Proportional to 60,224 and 132,080

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Solution

The third proportional to 60,224 and 132,080 is: 289,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,224 : 132,080 = 132,080 : x
  2. Step 2: Convert to fraction form
    60,224/132,080 = 132,080/x
  3. Step 3: Cross multiply
    60,224x = 132,080 × 132,080
  4. Step 4: Simplify right side
    60,224x = 17,445,126,400
  5. Step 5: Solve for x
    x = 17,445,126,400/60,224
  6. Step 6: Final answer
    x = 289,670.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.