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Finding the Third Proportional to 133,581 and 186,763.50

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Solution

The third proportional to 133,581 and 186,763.50 is: 261,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,581 : 186,763.50 = 186,763.50 : x
  2. Step 2: Convert to fraction form
    133,581/186,763.50 = 186,763.50/x
  3. Step 3: Cross multiply
    133,581x = 186,763.50 × 186,763.50
  4. Step 4: Simplify right side
    133,581x = 34,880,604,932.25
  5. Step 5: Solve for x
    x = 34,880,604,932.25/133,581
  6. Step 6: Final answer
    x = 261,119.51

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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.