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Finding the Third Proportional to 65,870.72 and 141,731.65

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Solution

The third proportional to 65,870.72 and 141,731.65 is: 304,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,870.72 : 141,731.65 = 141,731.65 : x
  2. Step 2: Convert to fraction form
    65,870.72/141,731.65 = 141,731.65/x
  3. Step 3: Cross multiply
    65,870.72x = 141,731.65 × 141,731.65
  4. Step 4: Simplify right side
    65,870.72x = 20,087,860,168.81
  5. Step 5: Solve for x
    x = 20,087,860,168.81/65,870.72
  6. Step 6: Final answer
    x = 304,958.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.