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Finding the Third Proportional to 65,971.65 and 141,285.04

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Solution

The third proportional to 65,971.65 and 141,285.04 is: 302,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971.65 : 141,285.04 = 141,285.04 : x
  2. Step 2: Convert to fraction form
    65,971.65/141,285.04 = 141,285.04/x
  3. Step 3: Cross multiply
    65,971.65x = 141,285.04 × 141,285.04
  4. Step 4: Simplify right side
    65,971.65x = 19,961,462,814.79
  5. Step 5: Solve for x
    x = 19,961,462,814.79/65,971.65
  6. Step 6: Final answer
    x = 302,576.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.