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Finding the Third Proportional to 59,949 and 93,143

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Solution

The third proportional to 59,949 and 93,143 is: 144,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,949 : 93,143 = 93,143 : x
  2. Step 2: Convert to fraction form
    59,949/93,143 = 93,143/x
  3. Step 3: Cross multiply
    59,949x = 93,143 × 93,143
  4. Step 4: Simplify right side
    59,949x = 8,675,618,449
  5. Step 5: Solve for x
    x = 8,675,618,449/59,949
  6. Step 6: Final answer
    x = 144,716.65

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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.