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Finding the Third Proportional to 119,166.75 and 174,529.13

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Solution

The third proportional to 119,166.75 and 174,529.13 is: 255,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,166.75 : 174,529.13 = 174,529.13 : x
  2. Step 2: Convert to fraction form
    119,166.75/174,529.13 = 174,529.13/x
  3. Step 3: Cross multiply
    119,166.75x = 174,529.13 × 174,529.13
  4. Step 4: Simplify right side
    119,166.75x = 30,460,415,473.27
  5. Step 5: Solve for x
    x = 30,460,415,473.27/119,166.75
  6. Step 6: Final answer
    x = 255,611.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.