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Finding the Third Proportional to 123,005.67 and 183,559.08

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Solution

The third proportional to 123,005.67 and 183,559.08 is: 273,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,005.67 : 183,559.08 = 183,559.08 : x
  2. Step 2: Convert to fraction form
    123,005.67/183,559.08 = 183,559.08/x
  3. Step 3: Cross multiply
    123,005.67x = 183,559.08 × 183,559.08
  4. Step 4: Simplify right side
    123,005.67x = 33,693,935,162.10
  5. Step 5: Solve for x
    x = 33,693,935,162.10/123,005.67
  6. Step 6: Final answer
    x = 273,921.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.