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Finding the Third Proportional to 100,029.38 and 154,203.75

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Solution

The third proportional to 100,029.38 and 154,203.75 is: 237,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.38 : 154,203.75 = 154,203.75 : x
  2. Step 2: Convert to fraction form
    100,029.38/154,203.75 = 154,203.75/x
  3. Step 3: Cross multiply
    100,029.38x = 154,203.75 × 154,203.75
  4. Step 4: Simplify right side
    100,029.38x = 23,778,796,514.06
  5. Step 5: Solve for x
    x = 23,778,796,514.06/100,029.38
  6. Step 6: Final answer
    x = 237,718.14

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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.