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Finding the Third Proportional to 54,597.38 and 117,166.50

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Solution

The third proportional to 54,597.38 and 117,166.50 is: 251,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,597.38 : 117,166.50 = 117,166.50 : x
  2. Step 2: Convert to fraction form
    54,597.38/117,166.50 = 117,166.50/x
  3. Step 3: Cross multiply
    54,597.38x = 117,166.50 × 117,166.50
  4. Step 4: Simplify right side
    54,597.38x = 13,727,988,722.25
  5. Step 5: Solve for x
    x = 13,727,988,722.25/54,597.38
  6. Step 6: Final answer
    x = 251,440.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.