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Finding the Third Proportional to 60,629 and 132,270

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Solution

The third proportional to 60,629 and 132,270 is: 288,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,629 : 132,270 = 132,270 : x
  2. Step 2: Convert to fraction form
    60,629/132,270 = 132,270/x
  3. Step 3: Cross multiply
    60,629x = 132,270 × 132,270
  4. Step 4: Simplify right side
    60,629x = 17,495,352,900
  5. Step 5: Solve for x
    x = 17,495,352,900/60,629
  6. Step 6: Final answer
    x = 288,564.10

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Why These Related Problems?

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