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Finding the Third Proportional to 54,756.88 and 118,808.38

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Solution

The third proportional to 54,756.88 and 118,808.38 is: 257,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,756.88 : 118,808.38 = 118,808.38 : x
  2. Step 2: Convert to fraction form
    54,756.88/118,808.38 = 118,808.38/x
  3. Step 3: Cross multiply
    54,756.88x = 118,808.38 × 118,808.38
  4. Step 4: Simplify right side
    54,756.88x = 14,115,429,970.14
  5. Step 5: Solve for x
    x = 14,115,429,970.14/54,756.88
  6. Step 6: Final answer
    x = 257,783.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.