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Finding the Third Proportional to 126,656.72 and 197,653.08

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Solution

The third proportional to 126,656.72 and 197,653.08 is: 308,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,656.72 : 197,653.08 = 197,653.08 : x
  2. Step 2: Convert to fraction form
    126,656.72/197,653.08 = 197,653.08/x
  3. Step 3: Cross multiply
    126,656.72x = 197,653.08 × 197,653.08
  4. Step 4: Simplify right side
    126,656.72x = 39,066,739,292.29
  5. Step 5: Solve for x
    x = 39,066,739,292.29/126,656.72
  6. Step 6: Final answer
    x = 308,445.85

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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.