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Finding the Third Proportional to 53,901 and 84,811.50

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Solution

The third proportional to 53,901 and 84,811.50 is: 133,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,901 : 84,811.50 = 84,811.50 : x
  2. Step 2: Convert to fraction form
    53,901/84,811.50 = 84,811.50/x
  3. Step 3: Cross multiply
    53,901x = 84,811.50 × 84,811.50
  4. Step 4: Simplify right side
    53,901x = 7,192,990,532.25
  5. Step 5: Solve for x
    x = 7,192,990,532.25/53,901
  6. Step 6: Final answer
    x = 133,448.18

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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.