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Finding the Third Proportional to 54,654 and 82,483

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Solution

The third proportional to 54,654 and 82,483 is: 124,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,654 : 82,483 = 82,483 : x
  2. Step 2: Convert to fraction form
    54,654/82,483 = 82,483/x
  3. Step 3: Cross multiply
    54,654x = 82,483 × 82,483
  4. Step 4: Simplify right side
    54,654x = 6,803,445,289
  5. Step 5: Solve for x
    x = 6,803,445,289/54,654
  6. Step 6: Final answer
    x = 124,482.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.