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Finding the Third Proportional to 124,416 and 193,731.75

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Solution

The third proportional to 124,416 and 193,731.75 is: 301,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,416 : 193,731.75 = 193,731.75 : x
  2. Step 2: Convert to fraction form
    124,416/193,731.75 = 193,731.75/x
  3. Step 3: Cross multiply
    124,416x = 193,731.75 × 193,731.75
  4. Step 4: Simplify right side
    124,416x = 37,531,990,958.06
  5. Step 5: Solve for x
    x = 37,531,990,958.06/124,416
  6. Step 6: Final answer
    x = 301,665.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.