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Finding the Third Proportional to 123,809.06 and 186,009.19

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Solution

The third proportional to 123,809.06 and 186,009.19 is: 279,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,809.06 : 186,009.19 = 186,009.19 : x
  2. Step 2: Convert to fraction form
    123,809.06/186,009.19 = 186,009.19/x
  3. Step 3: Cross multiply
    123,809.06x = 186,009.19 × 186,009.19
  4. Step 4: Simplify right side
    123,809.06x = 34,599,417,834.41
  5. Step 5: Solve for x
    x = 34,599,417,834.41/123,809.06
  6. Step 6: Final answer
    x = 279,457.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.