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Finding the Third Proportional to 60,419 and 132,457

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Solution

The third proportional to 60,419 and 132,457 is: 290,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,419 : 132,457 = 132,457 : x
  2. Step 2: Convert to fraction form
    60,419/132,457 = 132,457/x
  3. Step 3: Cross multiply
    60,419x = 132,457 × 132,457
  4. Step 4: Simplify right side
    60,419x = 17,544,856,849
  5. Step 5: Solve for x
    x = 17,544,856,849/60,419
  6. Step 6: Final answer
    x = 290,386.42

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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.