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Finding the Third Proportional to 133,929 and 183,641.50

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Solution

The third proportional to 133,929 and 183,641.50 is: 251,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,929 : 183,641.50 = 183,641.50 : x
  2. Step 2: Convert to fraction form
    133,929/183,641.50 = 183,641.50/x
  3. Step 3: Cross multiply
    133,929x = 183,641.50 × 183,641.50
  4. Step 4: Simplify right side
    133,929x = 33,724,200,522.25
  5. Step 5: Solve for x
    x = 33,724,200,522.25/133,929
  6. Step 6: Final answer
    x = 251,806.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.