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Finding the Third Proportional to 73,918.50 and 115,822.88

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Solution

The third proportional to 73,918.50 and 115,822.88 is: 181,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,918.50 : 115,822.88 = 115,822.88 : x
  2. Step 2: Convert to fraction form
    73,918.50/115,822.88 = 115,822.88/x
  3. Step 3: Cross multiply
    73,918.50x = 115,822.88 × 115,822.88
  4. Step 4: Simplify right side
    73,918.50x = 13,414,938,373.27
  5. Step 5: Solve for x
    x = 13,414,938,373.27/73,918.50
  6. Step 6: Final answer
    x = 181,482.83

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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.