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Finding the Third Proportional to 131,840.72 and 186,675.75

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Solution

The third proportional to 131,840.72 and 186,675.75 is: 264,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,840.72 : 186,675.75 = 186,675.75 : x
  2. Step 2: Convert to fraction form
    131,840.72/186,675.75 = 186,675.75/x
  3. Step 3: Cross multiply
    131,840.72x = 186,675.75 × 186,675.75
  4. Step 4: Simplify right side
    131,840.72x = 34,847,835,638.06
  5. Step 5: Solve for x
    x = 34,847,835,638.06/131,840.72
  6. Step 6: Final answer
    x = 264,317.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.