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Finding the Third Proportional to 54,506 and 117,614

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Solution

The third proportional to 54,506 and 117,614 is: 253,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,506 : 117,614 = 117,614 : x
  2. Step 2: Convert to fraction form
    54,506/117,614 = 117,614/x
  3. Step 3: Cross multiply
    54,506x = 117,614 × 117,614
  4. Step 4: Simplify right side
    54,506x = 13,833,052,996
  5. Step 5: Solve for x
    x = 13,833,052,996/54,506
  6. Step 6: Final answer
    x = 253,789.55

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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.