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Finding the Third Proportional to 65,816.44 and 136,693.13

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Solution

The third proportional to 65,816.44 and 136,693.13 is: 283,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816.44 : 136,693.13 = 136,693.13 : x
  2. Step 2: Convert to fraction form
    65,816.44/136,693.13 = 136,693.13/x
  3. Step 3: Cross multiply
    65,816.44x = 136,693.13 × 136,693.13
  4. Step 4: Simplify right side
    65,816.44x = 18,685,010,422.27
  5. Step 5: Solve for x
    x = 18,685,010,422.27/65,816.44
  6. Step 6: Final answer
    x = 283,895.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.