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Finding the Third Proportional to 61,750.69 and 132,863.63

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Solution

The third proportional to 61,750.69 and 132,863.63 is: 285,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,750.69 : 132,863.63 = 132,863.63 : x
  2. Step 2: Convert to fraction form
    61,750.69/132,863.63 = 132,863.63/x
  3. Step 3: Cross multiply
    61,750.69x = 132,863.63 × 132,863.63
  4. Step 4: Simplify right side
    61,750.69x = 17,652,742,848.14
  5. Step 5: Solve for x
    x = 17,652,742,848.14/61,750.69
  6. Step 6: Final answer
    x = 285,871.20

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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.