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Finding the Third Proportional to 61,889 and 132,130

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Solution

The third proportional to 61,889 and 132,130 is: 282,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,889 : 132,130 = 132,130 : x
  2. Step 2: Convert to fraction form
    61,889/132,130 = 132,130/x
  3. Step 3: Cross multiply
    61,889x = 132,130 × 132,130
  4. Step 4: Simplify right side
    61,889x = 17,458,336,900
  5. Step 5: Solve for x
    x = 17,458,336,900/61,889
  6. Step 6: Final answer
    x = 282,091.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.