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Finding the Third Proportional to 123,044.38 and 184,681.90

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Solution

The third proportional to 123,044.38 and 184,681.90 is: 277,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,044.38 : 184,681.90 = 184,681.90 : x
  2. Step 2: Convert to fraction form
    123,044.38/184,681.90 = 184,681.90/x
  3. Step 3: Cross multiply
    123,044.38x = 184,681.90 × 184,681.90
  4. Step 4: Simplify right side
    123,044.38x = 34,107,403,610.48
  5. Step 5: Solve for x
    x = 34,107,403,610.48/123,044.38
  6. Step 6: Final answer
    x = 277,195.95

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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.