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Finding the Third Proportional to 116,599 and 180,051

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Solution

The third proportional to 116,599 and 180,051 is: 278,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,599 : 180,051 = 180,051 : x
  2. Step 2: Convert to fraction form
    116,599/180,051 = 180,051/x
  3. Step 3: Cross multiply
    116,599x = 180,051 × 180,051
  4. Step 4: Simplify right side
    116,599x = 32,418,362,601
  5. Step 5: Solve for x
    x = 32,418,362,601/116,599
  6. Step 6: Final answer
    x = 278,032.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.