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Finding the Third Proportional to 133,905 and 183,613.50

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Solution

The third proportional to 133,905 and 183,613.50 is: 251,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,905 : 183,613.50 = 183,613.50 : x
  2. Step 2: Convert to fraction form
    133,905/183,613.50 = 183,613.50/x
  3. Step 3: Cross multiply
    133,905x = 183,613.50 × 183,613.50
  4. Step 4: Simplify right side
    133,905x = 33,713,917,382.25
  5. Step 5: Solve for x
    x = 33,713,917,382.25/133,905
  6. Step 6: Final answer
    x = 251,774.90

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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.