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Finding the Third Proportional to 92,290.50 and 144,583.88

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Solution

The third proportional to 92,290.50 and 144,583.88 is: 226,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,290.50 : 144,583.88 = 144,583.88 : x
  2. Step 2: Convert to fraction form
    92,290.50/144,583.88 = 144,583.88/x
  3. Step 3: Cross multiply
    92,290.50x = 144,583.88 × 144,583.88
  4. Step 4: Simplify right side
    92,290.50x = 20,904,496,910.02
  5. Step 5: Solve for x
    x = 20,904,496,910.02/92,290.50
  6. Step 6: Final answer
    x = 226,507.57

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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.