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Finding the Third Proportional to 61,746 and 132,852

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Solution

The third proportional to 61,746 and 132,852 is: 285,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,746 : 132,852 = 132,852 : x
  2. Step 2: Convert to fraction form
    61,746/132,852 = 132,852/x
  3. Step 3: Cross multiply
    61,746x = 132,852 × 132,852
  4. Step 4: Simplify right side
    61,746x = 17,649,653,904
  5. Step 5: Solve for x
    x = 17,649,653,904/61,746
  6. Step 6: Final answer
    x = 285,842.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.