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Finding the Third Proportional to 126,657.13 and 197,653.69

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Solution

The third proportional to 126,657.13 and 197,653.69 is: 308,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,657.13 : 197,653.69 = 197,653.69 : x
  2. Step 2: Convert to fraction form
    126,657.13/197,653.69 = 197,653.69/x
  3. Step 3: Cross multiply
    126,657.13x = 197,653.69 × 197,653.69
  4. Step 4: Simplify right side
    126,657.13x = 39,066,980,182.35
  5. Step 5: Solve for x
    x = 39,066,980,182.35/126,657.13
  6. Step 6: Final answer
    x = 308,446.76

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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.