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Finding the Third Proportional to 126,657 and 197,653

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Solution

The third proportional to 126,657 and 197,653 is: 308,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,657 : 197,653 = 197,653 : x
  2. Step 2: Convert to fraction form
    126,657/197,653 = 197,653/x
  3. Step 3: Cross multiply
    126,657x = 197,653 × 197,653
  4. Step 4: Simplify right side
    126,657x = 39,066,708,409
  5. Step 5: Solve for x
    x = 39,066,708,409/126,657
  6. Step 6: Final answer
    x = 308,444.92

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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.