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Finding the Third Proportional to 131,146.88 and 202,506.75

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Solution

The third proportional to 131,146.88 and 202,506.75 is: 312,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,146.88 : 202,506.75 = 202,506.75 : x
  2. Step 2: Convert to fraction form
    131,146.88/202,506.75 = 202,506.75/x
  3. Step 3: Cross multiply
    131,146.88x = 202,506.75 × 202,506.75
  4. Step 4: Simplify right side
    131,146.88x = 41,008,983,795.56
  5. Step 5: Solve for x
    x = 41,008,983,795.56/131,146.88
  6. Step 6: Final answer
    x = 312,695.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.