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Finding the Third Proportional to 59,131 and 88,464.50

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Solution

The third proportional to 59,131 and 88,464.50 is: 132,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,131 : 88,464.50 = 88,464.50 : x
  2. Step 2: Convert to fraction form
    59,131/88,464.50 = 88,464.50/x
  3. Step 3: Cross multiply
    59,131x = 88,464.50 × 88,464.50
  4. Step 4: Simplify right side
    59,131x = 7,825,967,760.25
  5. Step 5: Solve for x
    x = 7,825,967,760.25/59,131
  6. Step 6: Final answer
    x = 132,349.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.