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Finding the Third Proportional to 53,349 and 108,232.50

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Solution

The third proportional to 53,349 and 108,232.50 is: 219,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,349 : 108,232.50 = 108,232.50 : x
  2. Step 2: Convert to fraction form
    53,349/108,232.50 = 108,232.50/x
  3. Step 3: Cross multiply
    53,349x = 108,232.50 × 108,232.50
  4. Step 4: Simplify right side
    53,349x = 11,714,274,056.25
  5. Step 5: Solve for x
    x = 11,714,274,056.25/53,349
  6. Step 6: Final answer
    x = 219,578.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.