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Finding the Third Proportional to 133,816 and 183,492.50

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Solution

The third proportional to 133,816 and 183,492.50 is: 251,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816 : 183,492.50 = 183,492.50 : x
  2. Step 2: Convert to fraction form
    133,816/183,492.50 = 183,492.50/x
  3. Step 3: Cross multiply
    133,816x = 183,492.50 × 183,492.50
  4. Step 4: Simplify right side
    133,816x = 33,669,497,556.25
  5. Step 5: Solve for x
    x = 33,669,497,556.25/133,816
  6. Step 6: Final answer
    x = 251,610.40

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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.