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Finding the Third Proportional to 139,767.75 and 186,215.63

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Solution

The third proportional to 139,767.75 and 186,215.63 is: 248,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,767.75 : 186,215.63 = 186,215.63 : x
  2. Step 2: Convert to fraction form
    139,767.75/186,215.63 = 186,215.63/x
  3. Step 3: Cross multiply
    139,767.75x = 186,215.63 × 186,215.63
  4. Step 4: Simplify right side
    139,767.75x = 34,676,258,994.14
  5. Step 5: Solve for x
    x = 34,676,258,994.14/139,767.75
  6. Step 6: Final answer
    x = 248,099.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.