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Finding the Third Proportional to 60,629 and 132,271

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Solution

The third proportional to 60,629 and 132,271 is: 288,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,629 : 132,271 = 132,271 : x
  2. Step 2: Convert to fraction form
    60,629/132,271 = 132,271/x
  3. Step 3: Cross multiply
    60,629x = 132,271 × 132,271
  4. Step 4: Simplify right side
    60,629x = 17,495,617,441
  5. Step 5: Solve for x
    x = 17,495,617,441/60,629
  6. Step 6: Final answer
    x = 288,568.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.