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Finding the Third Proportional to 130,033.06 and 204,034.93

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Solution

The third proportional to 130,033.06 and 204,034.93 is: 320,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,033.06 : 204,034.93 = 204,034.93 : x
  2. Step 2: Convert to fraction form
    130,033.06/204,034.93 = 204,034.93/x
  3. Step 3: Cross multiply
    130,033.06x = 204,034.93 × 204,034.93
  4. Step 4: Simplify right side
    130,033.06x = 41,630,251,137.82
  5. Step 5: Solve for x
    x = 41,630,251,137.82/130,033.06
  6. Step 6: Final answer
    x = 320,151.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.