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Finding the Third Proportional to 123,368.06 and 180,774.75

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Solution

The third proportional to 123,368.06 and 180,774.75 is: 264,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,368.06 : 180,774.75 = 180,774.75 : x
  2. Step 2: Convert to fraction form
    123,368.06/180,774.75 = 180,774.75/x
  3. Step 3: Cross multiply
    123,368.06x = 180,774.75 × 180,774.75
  4. Step 4: Simplify right side
    123,368.06x = 32,679,510,237.56
  5. Step 5: Solve for x
    x = 32,679,510,237.56/123,368.06
  6. Step 6: Final answer
    x = 264,894.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.