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Finding the Third Proportional to 61,621.31 and 132,582.94

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Solution

The third proportional to 61,621.31 and 132,582.94 is: 285,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,621.31 : 132,582.94 = 132,582.94 : x
  2. Step 2: Convert to fraction form
    61,621.31/132,582.94 = 132,582.94/x
  3. Step 3: Cross multiply
    61,621.31x = 132,582.94 × 132,582.94
  4. Step 4: Simplify right side
    61,621.31x = 17,578,235,316.13
  5. Step 5: Solve for x
    x = 17,578,235,316.13/61,621.31
  6. Step 6: Final answer
    x = 285,262.27

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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.