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Finding the Third Proportional to 121,662.56 and 162,741.66

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Solution

The third proportional to 121,662.56 and 162,741.66 is: 217,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,662.56 : 162,741.66 = 162,741.66 : x
  2. Step 2: Convert to fraction form
    121,662.56/162,741.66 = 162,741.66/x
  3. Step 3: Cross multiply
    121,662.56x = 162,741.66 × 162,741.66
  4. Step 4: Simplify right side
    121,662.56x = 26,484,846,678.99
  5. Step 5: Solve for x
    x = 26,484,846,678.99/121,662.56
  6. Step 6: Final answer
    x = 217,691.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.