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Finding the Third Proportional to 65,455.80 and 100,087.47

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Solution

The third proportional to 65,455.80 and 100,087.47 is: 153,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,455.80 : 100,087.47 = 100,087.47 : x
  2. Step 2: Convert to fraction form
    65,455.80/100,087.47 = 100,087.47/x
  3. Step 3: Cross multiply
    65,455.80x = 100,087.47 × 100,087.47
  4. Step 4: Simplify right side
    65,455.80x = 10,017,501,791.75
  5. Step 5: Solve for x
    x = 10,017,501,791.75/65,455.80
  6. Step 6: Final answer
    x = 153,042.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.