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Finding the Third Proportional to 124,714.78 and 190,185.84

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Solution

The third proportional to 124,714.78 and 190,185.84 is: 290,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,714.78 : 190,185.84 = 190,185.84 : x
  2. Step 2: Convert to fraction form
    124,714.78/190,185.84 = 190,185.84/x
  3. Step 3: Cross multiply
    124,714.78x = 190,185.84 × 190,185.84
  4. Step 4: Simplify right side
    124,714.78x = 36,170,655,162.90
  5. Step 5: Solve for x
    x = 36,170,655,162.90/124,714.78
  6. Step 6: Final answer
    x = 290,027.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.