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Finding the Third Proportional to 61,835.91 and 132,419.81

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Solution

The third proportional to 61,835.91 and 132,419.81 is: 283,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,835.91 : 132,419.81 = 132,419.81 : x
  2. Step 2: Convert to fraction form
    61,835.91/132,419.81 = 132,419.81/x
  3. Step 3: Cross multiply
    61,835.91x = 132,419.81 × 132,419.81
  4. Step 4: Simplify right side
    61,835.91x = 17,535,006,742.54
  5. Step 5: Solve for x
    x = 17,535,006,742.54/61,835.91
  6. Step 6: Final answer
    x = 283,573.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.