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Finding the Third Proportional to 53,551.50 and 117,612.38

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Solution

The third proportional to 53,551.50 and 117,612.38 is: 258,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,551.50 : 117,612.38 = 117,612.38 : x
  2. Step 2: Convert to fraction form
    53,551.50/117,612.38 = 117,612.38/x
  3. Step 3: Cross multiply
    53,551.50x = 117,612.38 × 117,612.38
  4. Step 4: Simplify right side
    53,551.50x = 13,832,670,753.14
  5. Step 5: Solve for x
    x = 13,832,670,753.14/53,551.50
  6. Step 6: Final answer
    x = 258,305.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.