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Finding the Third Proportional to 59,886 and 93,102.75

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Solution

The third proportional to 59,886 and 93,102.75 is: 144,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,886 : 93,102.75 = 93,102.75 : x
  2. Step 2: Convert to fraction form
    59,886/93,102.75 = 93,102.75/x
  3. Step 3: Cross multiply
    59,886x = 93,102.75 × 93,102.75
  4. Step 4: Simplify right side
    59,886x = 8,668,122,057.56
  5. Step 5: Solve for x
    x = 8,668,122,057.56/59,886
  6. Step 6: Final answer
    x = 144,743.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.