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Finding the Third Proportional to 123,007.75 and 183,562

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Solution

The third proportional to 123,007.75 and 183,562 is: 273,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,007.75 : 183,562 = 183,562 : x
  2. Step 2: Convert to fraction form
    123,007.75/183,562 = 183,562/x
  3. Step 3: Cross multiply
    123,007.75x = 183,562 × 183,562
  4. Step 4: Simplify right side
    123,007.75x = 33,695,007,844
  5. Step 5: Solve for x
    x = 33,695,007,844/123,007.75
  6. Step 6: Final answer
    x = 273,925.89

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