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Finding the Third Proportional to 137,052 and 186,711.75

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Solution

The third proportional to 137,052 and 186,711.75 is: 254,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,052 : 186,711.75 = 186,711.75 : x
  2. Step 2: Convert to fraction form
    137,052/186,711.75 = 186,711.75/x
  3. Step 3: Cross multiply
    137,052x = 186,711.75 × 186,711.75
  4. Step 4: Simplify right side
    137,052x = 34,861,277,588.06
  5. Step 5: Solve for x
    x = 34,861,277,588.06/137,052
  6. Step 6: Final answer
    x = 254,365.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.