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Finding the Third Proportional to 133,787.50 and 183,458

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Solution

The third proportional to 133,787.50 and 183,458 is: 251,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,787.50 : 183,458 = 183,458 : x
  2. Step 2: Convert to fraction form
    133,787.50/183,458 = 183,458/x
  3. Step 3: Cross multiply
    133,787.50x = 183,458 × 183,458
  4. Step 4: Simplify right side
    133,787.50x = 33,656,837,764
  5. Step 5: Solve for x
    x = 33,656,837,764/133,787.50
  6. Step 6: Final answer
    x = 251,569.38

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Why These Related Problems?

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