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Finding the Third Proportional to 53,617.78 and 105,888.94

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Solution

The third proportional to 53,617.78 and 105,888.94 is: 209,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,617.78 : 105,888.94 = 105,888.94 : x
  2. Step 2: Convert to fraction form
    53,617.78/105,888.94 = 105,888.94/x
  3. Step 3: Cross multiply
    53,617.78x = 105,888.94 × 105,888.94
  4. Step 4: Simplify right side
    53,617.78x = 11,212,467,084.88
  5. Step 5: Solve for x
    x = 11,212,467,084.88/53,617.78
  6. Step 6: Final answer
    x = 209,118.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.