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Finding the Third Proportional to 54,500 and 116,392

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Solution

The third proportional to 54,500 and 116,392 is: 248,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,500 : 116,392 = 116,392 : x
  2. Step 2: Convert to fraction form
    54,500/116,392 = 116,392/x
  3. Step 3: Cross multiply
    54,500x = 116,392 × 116,392
  4. Step 4: Simplify right side
    54,500x = 13,547,097,664
  5. Step 5: Solve for x
    x = 13,547,097,664/54,500
  6. Step 6: Final answer
    x = 248,570.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.