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Finding the Third Proportional to 54,465 and 117,533

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Solution

The third proportional to 54,465 and 117,533 is: 253,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,465 : 117,533 = 117,533 : x
  2. Step 2: Convert to fraction form
    54,465/117,533 = 117,533/x
  3. Step 3: Cross multiply
    54,465x = 117,533 × 117,533
  4. Step 4: Simplify right side
    54,465x = 13,814,006,089
  5. Step 5: Solve for x
    x = 13,814,006,089/54,465
  6. Step 6: Final answer
    x = 253,630.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.