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Finding the Third Proportional to 54,599 and 115,030

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Solution

The third proportional to 54,599 and 115,030 is: 242,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,599 : 115,030 = 115,030 : x
  2. Step 2: Convert to fraction form
    54,599/115,030 = 115,030/x
  3. Step 3: Cross multiply
    54,599x = 115,030 × 115,030
  4. Step 4: Simplify right side
    54,599x = 13,231,900,900
  5. Step 5: Solve for x
    x = 13,231,900,900/54,599
  6. Step 6: Final answer
    x = 242,346.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.