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Finding the Third Proportional to 54,256.50 and 117,534

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Solution

The third proportional to 54,256.50 and 117,534 is: 254,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,256.50 : 117,534 = 117,534 : x
  2. Step 2: Convert to fraction form
    54,256.50/117,534 = 117,534/x
  3. Step 3: Cross multiply
    54,256.50x = 117,534 × 117,534
  4. Step 4: Simplify right side
    54,256.50x = 13,814,241,156
  5. Step 5: Solve for x
    x = 13,814,241,156/54,256.50
  6. Step 6: Final answer
    x = 254,609.88

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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.