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Finding the Third Proportional to 73,913.77 and 115,817.03

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Solution

The third proportional to 73,913.77 and 115,817.03 is: 181,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,913.77 : 115,817.03 = 115,817.03 : x
  2. Step 2: Convert to fraction form
    73,913.77/115,817.03 = 115,817.03/x
  3. Step 3: Cross multiply
    73,913.77x = 115,817.03 × 115,817.03
  4. Step 4: Simplify right side
    73,913.77x = 13,413,583,822.74
  5. Step 5: Solve for x
    x = 13,413,583,822.74/73,913.77
  6. Step 6: Final answer
    x = 181,476.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.