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Finding the Third Proportional to 116,529.75 and 179,948.25

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Solution

The third proportional to 116,529.75 and 179,948.25 is: 277,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,529.75 : 179,948.25 = 179,948.25 : x
  2. Step 2: Convert to fraction form
    116,529.75/179,948.25 = 179,948.25/x
  3. Step 3: Cross multiply
    116,529.75x = 179,948.25 × 179,948.25
  4. Step 4: Simplify right side
    116,529.75x = 32,381,372,678.06
  5. Step 5: Solve for x
    x = 32,381,372,678.06/116,529.75
  6. Step 6: Final answer
    x = 277,880.74

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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.