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Finding the Third Proportional to 73,702.13 and 113,388.19

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Solution

The third proportional to 73,702.13 and 113,388.19 is: 174,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,702.13 : 113,388.19 = 113,388.19 : x
  2. Step 2: Convert to fraction form
    73,702.13/113,388.19 = 113,388.19/x
  3. Step 3: Cross multiply
    73,702.13x = 113,388.19 × 113,388.19
  4. Step 4: Simplify right side
    73,702.13x = 12,856,881,064.54
  5. Step 5: Solve for x
    x = 12,856,881,064.54/73,702.13
  6. Step 6: Final answer
    x = 174,443.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.