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Finding the Third Proportional to 54,465.75 and 118,788

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Solution

The third proportional to 54,465.75 and 118,788 is: 259,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,465.75 : 118,788 = 118,788 : x
  2. Step 2: Convert to fraction form
    54,465.75/118,788 = 118,788/x
  3. Step 3: Cross multiply
    54,465.75x = 118,788 × 118,788
  4. Step 4: Simplify right side
    54,465.75x = 14,110,588,944
  5. Step 5: Solve for x
    x = 14,110,588,944/54,465.75
  6. Step 6: Final answer
    x = 259,072.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.