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Finding the Third Proportional to 131,742.75 and 197,253.75

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Solution

The third proportional to 131,742.75 and 197,253.75 is: 295,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,742.75 : 197,253.75 = 197,253.75 : x
  2. Step 2: Convert to fraction form
    131,742.75/197,253.75 = 197,253.75/x
  3. Step 3: Cross multiply
    131,742.75x = 197,253.75 × 197,253.75
  4. Step 4: Simplify right side
    131,742.75x = 38,909,041,889.06
  5. Step 5: Solve for x
    x = 38,909,041,889.06/131,742.75
  6. Step 6: Final answer
    x = 295,341.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.