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Finding the Third Proportional to 137,094 and 186,767

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Solution

The third proportional to 137,094 and 186,767 is: 254,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,094 : 186,767 = 186,767 : x
  2. Step 2: Convert to fraction form
    137,094/186,767 = 186,767/x
  3. Step 3: Cross multiply
    137,094x = 186,767 × 186,767
  4. Step 4: Simplify right side
    137,094x = 34,881,912,289
  5. Step 5: Solve for x
    x = 34,881,912,289/137,094
  6. Step 6: Final answer
    x = 254,437.92

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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.