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Finding the Third Proportional to 133,496 and 186,636

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Solution

The third proportional to 133,496 and 186,636 is: 260,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,496 : 186,636 = 186,636 : x
  2. Step 2: Convert to fraction form
    133,496/186,636 = 186,636/x
  3. Step 3: Cross multiply
    133,496x = 186,636 × 186,636
  4. Step 4: Simplify right side
    133,496x = 34,832,996,496
  5. Step 5: Solve for x
    x = 34,832,996,496/133,496
  6. Step 6: Final answer
    x = 260,929.14

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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.