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Finding the Third Proportional to 60,628 and 132,114

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Solution

The third proportional to 60,628 and 132,114 is: 287,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,628 : 132,114 = 132,114 : x
  2. Step 2: Convert to fraction form
    60,628/132,114 = 132,114/x
  3. Step 3: Cross multiply
    60,628x = 132,114 × 132,114
  4. Step 4: Simplify right side
    60,628x = 17,454,108,996
  5. Step 5: Solve for x
    x = 17,454,108,996/60,628
  6. Step 6: Final answer
    x = 287,888.58

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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.