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Finding the Third Proportional to 133,596 and 186,786

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Solution

The third proportional to 133,596 and 186,786 is: 261,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,596 : 186,786 = 186,786 : x
  2. Step 2: Convert to fraction form
    133,596/186,786 = 186,786/x
  3. Step 3: Cross multiply
    133,596x = 186,786 × 186,786
  4. Step 4: Simplify right side
    133,596x = 34,889,009,796
  5. Step 5: Solve for x
    x = 34,889,009,796/133,596
  6. Step 6: Final answer
    x = 261,153.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.