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Finding the Third Proportional to 54,600 and 118,488

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Solution

The third proportional to 54,600 and 118,488 is: 257,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,600 : 118,488 = 118,488 : x
  2. Step 2: Convert to fraction form
    54,600/118,488 = 118,488/x
  3. Step 3: Cross multiply
    54,600x = 118,488 × 118,488
  4. Step 4: Simplify right side
    54,600x = 14,039,406,144
  5. Step 5: Solve for x
    x = 14,039,406,144/54,600
  6. Step 6: Final answer
    x = 257,131.98

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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.