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Finding the Third Proportional to 122,725.13 and 187,651.69

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Solution

The third proportional to 122,725.13 and 187,651.69 is: 286,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,725.13 : 187,651.69 = 187,651.69 : x
  2. Step 2: Convert to fraction form
    122,725.13/187,651.69 = 187,651.69/x
  3. Step 3: Cross multiply
    122,725.13x = 187,651.69 × 187,651.69
  4. Step 4: Simplify right side
    122,725.13x = 35,213,155,821.60
  5. Step 5: Solve for x
    x = 35,213,155,821.60/122,725.13
  6. Step 6: Final answer
    x = 286,927.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.